## size 44
QUANDLES[44] := rec( total := -1, implemented := 9, size := 44, rack := [ ] );
QUANDLES[44].implemented := 1;
QUANDLES[44].rack[1] := rec( size := 44, matrix :=
[ [ 1, 3, 4, 2, 41, 43, 44, 42, 37, 39, 40, 38, 33, 35, 36, 34, 29, 31, 32, 
      30, 25, 27, 28, 26, 21, 23, 24, 22, 17, 19, 20, 18, 13, 15, 16, 14, 9, 
      11, 12, 10, 5, 7, 8, 6 ], 
  [ 4, 2, 1, 3, 44, 42, 41, 43, 40, 38, 37, 39, 36, 34, 33, 35, 32, 30, 29, 
      31, 28, 26, 25, 27, 24, 22, 21, 23, 20, 18, 17, 19, 16, 14, 13, 15, 12, 
      10, 9, 11, 8, 6, 5, 7 ], 
  [ 2, 4, 3, 1, 42, 44, 43, 41, 38, 40, 39, 37, 34, 36, 35, 33, 30, 32, 31, 
      29, 26, 28, 27, 25, 22, 24, 23, 21, 18, 20, 19, 17, 14, 16, 15, 13, 10, 
      12, 11, 9, 6, 8, 7, 5 ], 
  [ 3, 1, 2, 4, 43, 41, 42, 44, 39, 37, 38, 40, 35, 33, 34, 36, 31, 29, 30, 
      32, 27, 25, 26, 28, 23, 21, 22, 24, 19, 17, 18, 20, 15, 13, 14, 16, 11, 
      9, 10, 12, 7, 5, 6, 8 ], 
  [ 9, 11, 12, 10, 5, 7, 8, 6, 1, 3, 4, 2, 41, 43, 44, 42, 37, 39, 40, 38, 
      33, 35, 36, 34, 29, 31, 32, 30, 25, 27, 28, 26, 21, 23, 24, 22, 17, 19, 
      20, 18, 13, 15, 16, 14 ], 
  [ 12, 10, 9, 11, 8, 6, 5, 7, 4, 2, 1, 3, 44, 42, 41, 43, 40, 38, 37, 39, 
      36, 34, 33, 35, 32, 30, 29, 31, 28, 26, 25, 27, 24, 22, 21, 23, 20, 18, 
      17, 19, 16, 14, 13, 15 ], 
  [ 10, 12, 11, 9, 6, 8, 7, 5, 2, 4, 3, 1, 42, 44, 43, 41, 38, 40, 39, 37, 
      34, 36, 35, 33, 30, 32, 31, 29, 26, 28, 27, 25, 22, 24, 23, 21, 18, 20, 
      19, 17, 14, 16, 15, 13 ], 
  [ 11, 9, 10, 12, 7, 5, 6, 8, 3, 1, 2, 4, 43, 41, 42, 44, 39, 37, 38, 40, 
      35, 33, 34, 36, 31, 29, 30, 32, 27, 25, 26, 28, 23, 21, 22, 24, 19, 17, 
      18, 20, 15, 13, 14, 16 ], 
  [ 17, 19, 20, 18, 13, 15, 16, 14, 9, 11, 12, 10, 5, 7, 8, 6, 1, 3, 4, 2, 
      41, 43, 44, 42, 37, 39, 40, 38, 33, 35, 36, 34, 29, 31, 32, 30, 25, 27, 
      28, 26, 21, 23, 24, 22 ], 
  [ 20, 18, 17, 19, 16, 14, 13, 15, 12, 10, 9, 11, 8, 6, 5, 7, 4, 2, 1, 3, 
      44, 42, 41, 43, 40, 38, 37, 39, 36, 34, 33, 35, 32, 30, 29, 31, 28, 26, 
      25, 27, 24, 22, 21, 23 ], 
  [ 18, 20, 19, 17, 14, 16, 15, 13, 10, 12, 11, 9, 6, 8, 7, 5, 2, 4, 3, 1, 
      42, 44, 43, 41, 38, 40, 39, 37, 34, 36, 35, 33, 30, 32, 31, 29, 26, 28, 
      27, 25, 22, 24, 23, 21 ], 
  [ 19, 17, 18, 20, 15, 13, 14, 16, 11, 9, 10, 12, 7, 5, 6, 8, 3, 1, 2, 4, 
      43, 41, 42, 44, 39, 37, 38, 40, 35, 33, 34, 36, 31, 29, 30, 32, 27, 25, 
      26, 28, 23, 21, 22, 24 ], 
  [ 25, 27, 28, 26, 21, 23, 24, 22, 17, 19, 20, 18, 13, 15, 16, 14, 9, 11, 
      12, 10, 5, 7, 8, 6, 1, 3, 4, 2, 41, 43, 44, 42, 37, 39, 40, 38, 33, 35, 
      36, 34, 29, 31, 32, 30 ], 
  [ 28, 26, 25, 27, 24, 22, 21, 23, 20, 18, 17, 19, 16, 14, 13, 15, 12, 10, 
      9, 11, 8, 6, 5, 7, 4, 2, 1, 3, 44, 42, 41, 43, 40, 38, 37, 39, 36, 34, 
      33, 35, 32, 30, 29, 31 ], 
  [ 26, 28, 27, 25, 22, 24, 23, 21, 18, 20, 19, 17, 14, 16, 15, 13, 10, 12, 
      11, 9, 6, 8, 7, 5, 2, 4, 3, 1, 42, 44, 43, 41, 38, 40, 39, 37, 34, 36, 
      35, 33, 30, 32, 31, 29 ], 
  [ 27, 25, 26, 28, 23, 21, 22, 24, 19, 17, 18, 20, 15, 13, 14, 16, 11, 9, 
      10, 12, 7, 5, 6, 8, 3, 1, 2, 4, 43, 41, 42, 44, 39, 37, 38, 40, 35, 33, 
      34, 36, 31, 29, 30, 32 ], 
  [ 33, 35, 36, 34, 29, 31, 32, 30, 25, 27, 28, 26, 21, 23, 24, 22, 17, 19, 
      20, 18, 13, 15, 16, 14, 9, 11, 12, 10, 5, 7, 8, 6, 1, 3, 4, 2, 41, 43, 
      44, 42, 37, 39, 40, 38 ], 
  [ 36, 34, 33, 35, 32, 30, 29, 31, 28, 26, 25, 27, 24, 22, 21, 23, 20, 18, 
      17, 19, 16, 14, 13, 15, 12, 10, 9, 11, 8, 6, 5, 7, 4, 2, 1, 3, 44, 42, 
      41, 43, 40, 38, 37, 39 ], 
  [ 34, 36, 35, 33, 30, 32, 31, 29, 26, 28, 27, 25, 22, 24, 23, 21, 18, 20, 
      19, 17, 14, 16, 15, 13, 10, 12, 11, 9, 6, 8, 7, 5, 2, 4, 3, 1, 42, 44, 
      43, 41, 38, 40, 39, 37 ], 
  [ 35, 33, 34, 36, 31, 29, 30, 32, 27, 25, 26, 28, 23, 21, 22, 24, 19, 17, 
      18, 20, 15, 13, 14, 16, 11, 9, 10, 12, 7, 5, 6, 8, 3, 1, 2, 4, 43, 41, 
      42, 44, 39, 37, 38, 40 ], 
  [ 41, 43, 44, 42, 37, 39, 40, 38, 33, 35, 36, 34, 29, 31, 32, 30, 25, 27, 
      28, 26, 21, 23, 24, 22, 17, 19, 20, 18, 13, 15, 16, 14, 9, 11, 12, 10, 
      5, 7, 8, 6, 1, 3, 4, 2 ], 
  [ 44, 42, 41, 43, 40, 38, 37, 39, 36, 34, 33, 35, 32, 30, 29, 31, 28, 26, 
      25, 27, 24, 22, 21, 23, 20, 18, 17, 19, 16, 14, 13, 15, 12, 10, 9, 11, 
      8, 6, 5, 7, 4, 2, 1, 3 ], 
  [ 42, 44, 43, 41, 38, 40, 39, 37, 34, 36, 35, 33, 30, 32, 31, 29, 26, 28, 
      27, 25, 22, 24, 23, 21, 18, 20, 19, 17, 14, 16, 15, 13, 10, 12, 11, 9, 
      6, 8, 7, 5, 2, 4, 3, 1 ], 
  [ 43, 41, 42, 44, 39, 37, 38, 40, 35, 33, 34, 36, 31, 29, 30, 32, 27, 25, 
      26, 28, 23, 21, 22, 24, 19, 17, 18, 20, 15, 13, 14, 16, 11, 9, 10, 12, 
      7, 5, 6, 8, 3, 1, 2, 4 ], 
  [ 5, 7, 8, 6, 1, 3, 4, 2, 41, 43, 44, 42, 37, 39, 40, 38, 33, 35, 36, 34, 
      29, 31, 32, 30, 25, 27, 28, 26, 21, 23, 24, 22, 17, 19, 20, 18, 13, 15, 
      16, 14, 9, 11, 12, 10 ], 
  [ 8, 6, 5, 7, 4, 2, 1, 3, 44, 42, 41, 43, 40, 38, 37, 39, 36, 34, 33, 35, 
      32, 30, 29, 31, 28, 26, 25, 27, 24, 22, 21, 23, 20, 18, 17, 19, 16, 14, 
      13, 15, 12, 10, 9, 11 ], 
  [ 6, 8, 7, 5, 2, 4, 3, 1, 42, 44, 43, 41, 38, 40, 39, 37, 34, 36, 35, 33, 
      30, 32, 31, 29, 26, 28, 27, 25, 22, 24, 23, 21, 18, 20, 19, 17, 14, 16, 
      15, 13, 10, 12, 11, 9 ], 
  [ 7, 5, 6, 8, 3, 1, 2, 4, 43, 41, 42, 44, 39, 37, 38, 40, 35, 33, 34, 36, 
      31, 29, 30, 32, 27, 25, 26, 28, 23, 21, 22, 24, 19, 17, 18, 20, 15, 13, 
      14, 16, 11, 9, 10, 12 ], 
  [ 13, 15, 16, 14, 9, 11, 12, 10, 5, 7, 8, 6, 1, 3, 4, 2, 41, 43, 44, 42, 
      37, 39, 40, 38, 33, 35, 36, 34, 29, 31, 32, 30, 25, 27, 28, 26, 21, 23, 
      24, 22, 17, 19, 20, 18 ], 
  [ 16, 14, 13, 15, 12, 10, 9, 11, 8, 6, 5, 7, 4, 2, 1, 3, 44, 42, 41, 43, 
      40, 38, 37, 39, 36, 34, 33, 35, 32, 30, 29, 31, 28, 26, 25, 27, 24, 22, 
      21, 23, 20, 18, 17, 19 ], 
  [ 14, 16, 15, 13, 10, 12, 11, 9, 6, 8, 7, 5, 2, 4, 3, 1, 42, 44, 43, 41, 
      38, 40, 39, 37, 34, 36, 35, 33, 30, 32, 31, 29, 26, 28, 27, 25, 22, 24, 
      23, 21, 18, 20, 19, 17 ], 
  [ 15, 13, 14, 16, 11, 9, 10, 12, 7, 5, 6, 8, 3, 1, 2, 4, 43, 41, 42, 44, 
      39, 37, 38, 40, 35, 33, 34, 36, 31, 29, 30, 32, 27, 25, 26, 28, 23, 21, 
      22, 24, 19, 17, 18, 20 ], 
  [ 21, 23, 24, 22, 17, 19, 20, 18, 13, 15, 16, 14, 9, 11, 12, 10, 5, 7, 8, 
      6, 1, 3, 4, 2, 41, 43, 44, 42, 37, 39, 40, 38, 33, 35, 36, 34, 29, 31, 
      32, 30, 25, 27, 28, 26 ], 
  [ 24, 22, 21, 23, 20, 18, 17, 19, 16, 14, 13, 15, 12, 10, 9, 11, 8, 6, 5, 
      7, 4, 2, 1, 3, 44, 42, 41, 43, 40, 38, 37, 39, 36, 34, 33, 35, 32, 30, 
      29, 31, 28, 26, 25, 27 ], 
  [ 22, 24, 23, 21, 18, 20, 19, 17, 14, 16, 15, 13, 10, 12, 11, 9, 6, 8, 7, 
      5, 2, 4, 3, 1, 42, 44, 43, 41, 38, 40, 39, 37, 34, 36, 35, 33, 30, 32, 
      31, 29, 26, 28, 27, 25 ], 
  [ 23, 21, 22, 24, 19, 17, 18, 20, 15, 13, 14, 16, 11, 9, 10, 12, 7, 5, 6, 
      8, 3, 1, 2, 4, 43, 41, 42, 44, 39, 37, 38, 40, 35, 33, 34, 36, 31, 29, 
      30, 32, 27, 25, 26, 28 ], 
  [ 29, 31, 32, 30, 25, 27, 28, 26, 21, 23, 24, 22, 17, 19, 20, 18, 13, 15, 
      16, 14, 9, 11, 12, 10, 5, 7, 8, 6, 1, 3, 4, 2, 41, 43, 44, 42, 37, 39, 
      40, 38, 33, 35, 36, 34 ], 
  [ 32, 30, 29, 31, 28, 26, 25, 27, 24, 22, 21, 23, 20, 18, 17, 19, 16, 14, 
      13, 15, 12, 10, 9, 11, 8, 6, 5, 7, 4, 2, 1, 3, 44, 42, 41, 43, 40, 38, 
      37, 39, 36, 34, 33, 35 ], 
  [ 30, 32, 31, 29, 26, 28, 27, 25, 22, 24, 23, 21, 18, 20, 19, 17, 14, 16, 
      15, 13, 10, 12, 11, 9, 6, 8, 7, 5, 2, 4, 3, 1, 42, 44, 43, 41, 38, 40, 
      39, 37, 34, 36, 35, 33 ], 
  [ 31, 29, 30, 32, 27, 25, 26, 28, 23, 21, 22, 24, 19, 17, 18, 20, 15, 13, 
      14, 16, 11, 9, 10, 12, 7, 5, 6, 8, 3, 1, 2, 4, 43, 41, 42, 44, 39, 37, 
      38, 40, 35, 33, 34, 36 ], 
  [ 37, 39, 40, 38, 33, 35, 36, 34, 29, 31, 32, 30, 25, 27, 28, 26, 21, 23, 
      24, 22, 17, 19, 20, 18, 13, 15, 16, 14, 9, 11, 12, 10, 5, 7, 8, 6, 1, 
      3, 4, 2, 41, 43, 44, 42 ], 
  [ 40, 38, 37, 39, 36, 34, 33, 35, 32, 30, 29, 31, 28, 26, 25, 27, 24, 22, 
      21, 23, 20, 18, 17, 19, 16, 14, 13, 15, 12, 10, 9, 11, 8, 6, 5, 7, 4, 
      2, 1, 3, 44, 42, 41, 43 ], 
  [ 38, 40, 39, 37, 34, 36, 35, 33, 30, 32, 31, 29, 26, 28, 27, 25, 22, 24, 
      23, 21, 18, 20, 19, 17, 14, 16, 15, 13, 10, 12, 11, 9, 6, 8, 7, 5, 2, 
      4, 3, 1, 42, 44, 43, 41 ], 
  [ 39, 37, 38, 40, 35, 33, 34, 36, 31, 29, 30, 32, 27, 25, 26, 28, 23, 21, 
      22, 24, 19, 17, 18, 20, 15, 13, 14, 16, 11, 9, 10, 12, 7, 5, 6, 8, 3, 
      1, 2, 4, 43, 41, 42, 44 ] ]);
QUANDLES[44].implemented := 2;
QUANDLES[44].rack[2] := rec( size := 44, matrix :=
[ [ 1, 5, 9, 2, 6, 10, 3, 7, 11, 4, 8, 36, 41, 35, 40, 34, 39, 44, 38, 43, 
      37, 42, 22, 15, 19, 12, 16, 20, 13, 17, 21, 14, 18, 32, 33, 23, 24, 25, 
      26, 27, 28, 29, 30, 31 ], 
  [ 9, 2, 6, 10, 3, 7, 11, 4, 8, 1, 5, 43, 37, 42, 36, 41, 35, 40, 34, 39, 
      44, 38, 21, 14, 18, 22, 15, 19, 12, 16, 20, 13, 17, 31, 32, 33, 23, 24, 
      25, 26, 27, 28, 29, 30 ], 
  [ 6, 10, 3, 7, 11, 4, 8, 1, 5, 9, 2, 39, 44, 38, 43, 37, 42, 36, 41, 35, 
      40, 34, 20, 13, 17, 21, 14, 18, 22, 15, 19, 12, 16, 30, 31, 32, 33, 23, 
      24, 25, 26, 27, 28, 29 ], 
  [ 3, 7, 11, 4, 8, 1, 5, 9, 2, 6, 10, 35, 40, 34, 39, 44, 38, 43, 37, 42, 
      36, 41, 19, 12, 16, 20, 13, 17, 21, 14, 18, 22, 15, 29, 30, 31, 32, 33, 
      23, 24, 25, 26, 27, 28 ], 
  [ 11, 4, 8, 1, 5, 9, 2, 6, 10, 3, 7, 42, 36, 41, 35, 40, 34, 39, 44, 38, 
      43, 37, 18, 22, 15, 19, 12, 16, 20, 13, 17, 21, 14, 28, 29, 30, 31, 32, 
      33, 23, 24, 25, 26, 27 ], 
  [ 8, 1, 5, 9, 2, 6, 10, 3, 7, 11, 4, 38, 43, 37, 42, 36, 41, 35, 40, 34, 
      39, 44, 17, 21, 14, 18, 22, 15, 19, 12, 16, 20, 13, 27, 28, 29, 30, 31, 
      32, 33, 23, 24, 25, 26 ], 
  [ 5, 9, 2, 6, 10, 3, 7, 11, 4, 8, 1, 34, 39, 44, 38, 43, 37, 42, 36, 41, 
      35, 40, 16, 20, 13, 17, 21, 14, 18, 22, 15, 19, 12, 26, 27, 28, 29, 30, 
      31, 32, 33, 23, 24, 25 ], 
  [ 2, 6, 10, 3, 7, 11, 4, 8, 1, 5, 9, 41, 35, 40, 34, 39, 44, 38, 43, 37, 
      42, 36, 15, 19, 12, 16, 20, 13, 17, 21, 14, 18, 22, 25, 26, 27, 28, 29, 
      30, 31, 32, 33, 23, 24 ], 
  [ 10, 3, 7, 11, 4, 8, 1, 5, 9, 2, 6, 37, 42, 36, 41, 35, 40, 34, 39, 44, 
      38, 43, 14, 18, 22, 15, 19, 12, 16, 20, 13, 17, 21, 24, 25, 26, 27, 28, 
      29, 30, 31, 32, 33, 23 ], 
  [ 7, 11, 4, 8, 1, 5, 9, 2, 6, 10, 3, 44, 38, 43, 37, 42, 36, 41, 35, 40, 
      34, 39, 13, 17, 21, 14, 18, 22, 15, 19, 12, 16, 20, 23, 24, 25, 26, 27, 
      28, 29, 30, 31, 32, 33 ], 
  [ 4, 8, 1, 5, 9, 2, 6, 10, 3, 7, 11, 40, 34, 39, 44, 38, 43, 37, 42, 36, 
      41, 35, 12, 16, 20, 13, 17, 21, 14, 18, 22, 15, 19, 33, 23, 24, 25, 26, 
      27, 28, 29, 30, 31, 32 ], 
  [ 24, 29, 23, 28, 33, 27, 32, 26, 31, 25, 30, 12, 16, 20, 13, 17, 21, 14, 
      18, 22, 15, 19, 35, 40, 34, 39, 44, 38, 43, 37, 42, 36, 41, 8, 11, 3, 
      6, 9, 1, 4, 7, 10, 2, 5 ], 
  [ 32, 26, 31, 25, 30, 24, 29, 23, 28, 33, 27, 20, 13, 17, 21, 14, 18, 22, 
      15, 19, 12, 16, 34, 39, 44, 38, 43, 37, 42, 36, 41, 35, 40, 10, 2, 5, 
      8, 11, 3, 6, 9, 1, 4, 7 ], 
  [ 29, 23, 28, 33, 27, 32, 26, 31, 25, 30, 24, 17, 21, 14, 18, 22, 15, 19, 
      12, 16, 20, 13, 44, 38, 43, 37, 42, 36, 41, 35, 40, 34, 39, 1, 4, 7, 
      10, 2, 5, 8, 11, 3, 6, 9 ], 
  [ 26, 31, 25, 30, 24, 29, 23, 28, 33, 27, 32, 14, 18, 22, 15, 19, 12, 16, 
      20, 13, 17, 21, 43, 37, 42, 36, 41, 35, 40, 34, 39, 44, 38, 3, 6, 9, 1, 
      4, 7, 10, 2, 5, 8, 11 ], 
  [ 23, 28, 33, 27, 32, 26, 31, 25, 30, 24, 29, 22, 15, 19, 12, 16, 20, 13, 
      17, 21, 14, 18, 42, 36, 41, 35, 40, 34, 39, 44, 38, 43, 37, 5, 8, 11, 
      3, 6, 9, 1, 4, 7, 10, 2 ], 
  [ 31, 25, 30, 24, 29, 23, 28, 33, 27, 32, 26, 19, 12, 16, 20, 13, 17, 21, 
      14, 18, 22, 15, 41, 35, 40, 34, 39, 44, 38, 43, 37, 42, 36, 7, 10, 2, 
      5, 8, 11, 3, 6, 9, 1, 4 ], 
  [ 28, 33, 27, 32, 26, 31, 25, 30, 24, 29, 23, 16, 20, 13, 17, 21, 14, 18, 
      22, 15, 19, 12, 40, 34, 39, 44, 38, 43, 37, 42, 36, 41, 35, 9, 1, 4, 7, 
      10, 2, 5, 8, 11, 3, 6 ], 
  [ 25, 30, 24, 29, 23, 28, 33, 27, 32, 26, 31, 13, 17, 21, 14, 18, 22, 15, 
      19, 12, 16, 20, 39, 44, 38, 43, 37, 42, 36, 41, 35, 40, 34, 11, 3, 6, 
      9, 1, 4, 7, 10, 2, 5, 8 ], 
  [ 33, 27, 32, 26, 31, 25, 30, 24, 29, 23, 28, 21, 14, 18, 22, 15, 19, 12, 
      16, 20, 13, 17, 38, 43, 37, 42, 36, 41, 35, 40, 34, 39, 44, 2, 5, 8, 
      11, 3, 6, 9, 1, 4, 7, 10 ], 
  [ 30, 24, 29, 23, 28, 33, 27, 32, 26, 31, 25, 18, 22, 15, 19, 12, 16, 20, 
      13, 17, 21, 14, 37, 42, 36, 41, 35, 40, 34, 39, 44, 38, 43, 4, 7, 10, 
      2, 5, 8, 11, 3, 6, 9, 1 ], 
  [ 27, 32, 26, 31, 25, 30, 24, 29, 23, 28, 33, 15, 19, 12, 16, 20, 13, 17, 
      21, 14, 18, 22, 36, 41, 35, 40, 34, 39, 44, 38, 43, 37, 42, 6, 9, 1, 4, 
      7, 10, 2, 5, 8, 11, 3 ], 
  [ 40, 38, 36, 34, 43, 41, 39, 37, 35, 44, 42, 1, 2, 3, 4, 5, 6, 7, 8, 9, 
      10, 11, 23, 27, 31, 24, 28, 32, 25, 29, 33, 26, 30, 21, 22, 12, 13, 14, 
      15, 16, 17, 18, 19, 20 ], 
  [ 39, 37, 35, 44, 42, 40, 38, 36, 34, 43, 41, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
      1, 2, 31, 24, 28, 32, 25, 29, 33, 26, 30, 23, 27, 18, 19, 20, 21, 22, 
      12, 13, 14, 15, 16, 17 ], 
  [ 38, 36, 34, 43, 41, 39, 37, 35, 44, 42, 40, 5, 6, 7, 8, 9, 10, 11, 1, 2, 
      3, 4, 28, 32, 25, 29, 33, 26, 30, 23, 27, 31, 24, 15, 16, 17, 18, 19, 
      20, 21, 22, 12, 13, 14 ], 
  [ 37, 35, 44, 42, 40, 38, 36, 34, 43, 41, 39, 7, 8, 9, 10, 11, 1, 2, 3, 4, 
      5, 6, 25, 29, 33, 26, 30, 23, 27, 31, 24, 28, 32, 12, 13, 14, 15, 16, 
      17, 18, 19, 20, 21, 22 ], 
  [ 36, 34, 43, 41, 39, 37, 35, 44, 42, 40, 38, 9, 10, 11, 1, 2, 3, 4, 5, 6, 
      7, 8, 33, 26, 30, 23, 27, 31, 24, 28, 32, 25, 29, 20, 21, 22, 12, 13, 
      14, 15, 16, 17, 18, 19 ], 
  [ 35, 44, 42, 40, 38, 36, 34, 43, 41, 39, 37, 11, 1, 2, 3, 4, 5, 6, 7, 8, 
      9, 10, 30, 23, 27, 31, 24, 28, 32, 25, 29, 33, 26, 17, 18, 19, 20, 21, 
      22, 12, 13, 14, 15, 16 ], 
  [ 34, 43, 41, 39, 37, 35, 44, 42, 40, 38, 36, 2, 3, 4, 5, 6, 7, 8, 9, 10, 
      11, 1, 27, 31, 24, 28, 32, 25, 29, 33, 26, 30, 23, 14, 15, 16, 17, 18, 
      19, 20, 21, 22, 12, 13 ], 
  [ 44, 42, 40, 38, 36, 34, 43, 41, 39, 37, 35, 4, 5, 6, 7, 8, 9, 10, 11, 1, 
      2, 3, 24, 28, 32, 25, 29, 33, 26, 30, 23, 27, 31, 22, 12, 13, 14, 15, 
      16, 17, 18, 19, 20, 21 ], 
  [ 43, 41, 39, 37, 35, 44, 42, 40, 38, 36, 34, 6, 7, 8, 9, 10, 11, 1, 2, 3, 
      4, 5, 32, 25, 29, 33, 26, 30, 23, 27, 31, 24, 28, 19, 20, 21, 22, 12, 
      13, 14, 15, 16, 17, 18 ], 
  [ 42, 40, 38, 36, 34, 43, 41, 39, 37, 35, 44, 8, 9, 10, 11, 1, 2, 3, 4, 5, 
      6, 7, 29, 33, 26, 30, 23, 27, 31, 24, 28, 32, 25, 16, 17, 18, 19, 20, 
      21, 22, 12, 13, 14, 15 ], 
  [ 41, 39, 37, 35, 44, 42, 40, 38, 36, 34, 43, 10, 11, 1, 2, 3, 4, 5, 6, 7, 
      8, 9, 26, 30, 23, 27, 31, 24, 28, 32, 25, 29, 33, 13, 14, 15, 16, 17, 
      18, 19, 20, 21, 22, 12 ], 
  [ 22, 16, 21, 15, 20, 14, 19, 13, 18, 12, 17, 33, 26, 30, 23, 27, 31, 24, 
      28, 32, 25, 29, 8, 9, 10, 11, 1, 2, 3, 4, 5, 6, 7, 34, 38, 42, 35, 39, 
      43, 36, 40, 44, 37, 41 ], 
  [ 13, 18, 12, 17, 22, 16, 21, 15, 20, 14, 19, 24, 28, 32, 25, 29, 33, 26, 
      30, 23, 27, 31, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 42, 35, 39, 43, 36, 
      40, 44, 37, 41, 34, 38 ], 
  [ 15, 20, 14, 19, 13, 18, 12, 17, 22, 16, 21, 26, 30, 23, 27, 31, 24, 28, 
      32, 25, 29, 33, 9, 10, 11, 1, 2, 3, 4, 5, 6, 7, 8, 39, 43, 36, 40, 44, 
      37, 41, 34, 38, 42, 35 ], 
  [ 17, 22, 16, 21, 15, 20, 14, 19, 13, 18, 12, 28, 32, 25, 29, 33, 26, 30, 
      23, 27, 31, 24, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 36, 40, 44, 37, 41, 
      34, 38, 42, 35, 39, 43 ], 
  [ 19, 13, 18, 12, 17, 22, 16, 21, 15, 20, 14, 30, 23, 27, 31, 24, 28, 32, 
      25, 29, 33, 26, 10, 11, 1, 2, 3, 4, 5, 6, 7, 8, 9, 44, 37, 41, 34, 38, 
      42, 35, 39, 43, 36, 40 ], 
  [ 21, 15, 20, 14, 19, 13, 18, 12, 17, 22, 16, 32, 25, 29, 33, 26, 30, 23, 
      27, 31, 24, 28, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 41, 34, 38, 42, 35, 
      39, 43, 36, 40, 44, 37 ], 
  [ 12, 17, 22, 16, 21, 15, 20, 14, 19, 13, 18, 23, 27, 31, 24, 28, 32, 25, 
      29, 33, 26, 30, 11, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 38, 42, 35, 39, 43, 
      36, 40, 44, 37, 41, 34 ], 
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      31, 24, 28, 32, 6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 5, 35, 39, 43, 36, 40, 
      44, 37, 41, 34, 38, 42 ], 
  [ 16, 21, 15, 20, 14, 19, 13, 18, 12, 17, 22, 27, 31, 24, 28, 32, 25, 29, 
      33, 26, 30, 23, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 43, 36, 40, 44, 37, 
      41, 34, 38, 42, 35, 39 ], 
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      24, 28, 32, 25, 7, 8, 9, 10, 11, 1, 2, 3, 4, 5, 6, 40, 44, 37, 41, 34, 
      38, 42, 35, 39, 43, 36 ], 
  [ 20, 14, 19, 13, 18, 12, 17, 22, 16, 21, 15, 31, 24, 28, 32, 25, 29, 33, 
      26, 30, 23, 27, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 37, 41, 34, 38, 42, 
      35, 39, 43, 36, 40, 44 ] ]);
QUANDLES[44].implemented := 3;
QUANDLES[44].rack[3] := rec( size := 44, matrix :=
[ [ 1, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 23, 28, 33, 27, 32, 26, 31, 25, 30, 
      24, 29, 42, 40, 38, 36, 34, 43, 41, 39, 37, 35, 44, 14, 18, 22, 15, 19, 
      12, 16, 20, 13, 17, 21 ], 
  [ 8, 2, 7, 1, 6, 11, 5, 10, 4, 9, 3, 29, 23, 28, 33, 27, 32, 26, 31, 25, 
      30, 24, 44, 42, 40, 38, 36, 34, 43, 41, 39, 37, 35, 20, 13, 17, 21, 14, 
      18, 22, 15, 19, 12, 16 ], 
  [ 4, 9, 3, 8, 2, 7, 1, 6, 11, 5, 10, 24, 29, 23, 28, 33, 27, 32, 26, 31, 
      25, 30, 35, 44, 42, 40, 38, 36, 34, 43, 41, 39, 37, 15, 19, 12, 16, 20, 
      13, 17, 21, 14, 18, 22 ], 
  [ 11, 5, 10, 4, 9, 3, 8, 2, 7, 1, 6, 30, 24, 29, 23, 28, 33, 27, 32, 26, 
      31, 25, 37, 35, 44, 42, 40, 38, 36, 34, 43, 41, 39, 21, 14, 18, 22, 15, 
      19, 12, 16, 20, 13, 17 ], 
  [ 7, 1, 6, 11, 5, 10, 4, 9, 3, 8, 2, 25, 30, 24, 29, 23, 28, 33, 27, 32, 
      26, 31, 39, 37, 35, 44, 42, 40, 38, 36, 34, 43, 41, 16, 20, 13, 17, 21, 
      14, 18, 22, 15, 19, 12 ], 
  [ 3, 8, 2, 7, 1, 6, 11, 5, 10, 4, 9, 31, 25, 30, 24, 29, 23, 28, 33, 27, 
      32, 26, 41, 39, 37, 35, 44, 42, 40, 38, 36, 34, 43, 22, 15, 19, 12, 16, 
      20, 13, 17, 21, 14, 18 ], 
  [ 10, 4, 9, 3, 8, 2, 7, 1, 6, 11, 5, 26, 31, 25, 30, 24, 29, 23, 28, 33, 
      27, 32, 43, 41, 39, 37, 35, 44, 42, 40, 38, 36, 34, 17, 21, 14, 18, 22, 
      15, 19, 12, 16, 20, 13 ], 
  [ 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1, 32, 26, 31, 25, 30, 24, 29, 23, 28, 
      33, 27, 34, 43, 41, 39, 37, 35, 44, 42, 40, 38, 36, 12, 16, 20, 13, 17, 
      21, 14, 18, 22, 15, 19 ], 
  [ 2, 7, 1, 6, 11, 5, 10, 4, 9, 3, 8, 27, 32, 26, 31, 25, 30, 24, 29, 23, 
      28, 33, 36, 34, 43, 41, 39, 37, 35, 44, 42, 40, 38, 18, 22, 15, 19, 12, 
      16, 20, 13, 17, 21, 14 ], 
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      23, 28, 38, 36, 34, 43, 41, 39, 37, 35, 44, 42, 40, 13, 17, 21, 14, 18, 
      22, 15, 19, 12, 16, 20 ], 
  [ 5, 10, 4, 9, 3, 8, 2, 7, 1, 6, 11, 28, 33, 27, 32, 26, 31, 25, 30, 24, 
      29, 23, 40, 38, 36, 34, 43, 41, 39, 37, 35, 44, 42, 19, 12, 16, 20, 13, 
      17, 21, 14, 18, 22, 15 ], 
  [ 40, 43, 35, 38, 41, 44, 36, 39, 42, 34, 37, 12, 17, 22, 16, 21, 15, 20, 
      14, 19, 13, 18, 11, 4, 8, 1, 5, 9, 2, 6, 10, 3, 7, 26, 30, 23, 27, 31, 
      24, 28, 32, 25, 29, 33 ], 
  [ 35, 38, 41, 44, 36, 39, 42, 34, 37, 40, 43, 19, 13, 18, 12, 17, 22, 16, 
      21, 15, 20, 14, 10, 3, 7, 11, 4, 8, 1, 5, 9, 2, 6, 33, 26, 30, 23, 27, 
      31, 24, 28, 32, 25, 29 ], 
  [ 41, 44, 36, 39, 42, 34, 37, 40, 43, 35, 38, 15, 20, 14, 19, 13, 18, 12, 
      17, 22, 16, 21, 9, 2, 6, 10, 3, 7, 11, 4, 8, 1, 5, 29, 33, 26, 30, 23, 
      27, 31, 24, 28, 32, 25 ], 
  [ 36, 39, 42, 34, 37, 40, 43, 35, 38, 41, 44, 22, 16, 21, 15, 20, 14, 19, 
      13, 18, 12, 17, 8, 1, 5, 9, 2, 6, 10, 3, 7, 11, 4, 25, 29, 33, 26, 30, 
      23, 27, 31, 24, 28, 32 ], 
  [ 42, 34, 37, 40, 43, 35, 38, 41, 44, 36, 39, 18, 12, 17, 22, 16, 21, 15, 
      20, 14, 19, 13, 7, 11, 4, 8, 1, 5, 9, 2, 6, 10, 3, 32, 25, 29, 33, 26, 
      30, 23, 27, 31, 24, 28 ], 
  [ 37, 40, 43, 35, 38, 41, 44, 36, 39, 42, 34, 14, 19, 13, 18, 12, 17, 22, 
      16, 21, 15, 20, 6, 10, 3, 7, 11, 4, 8, 1, 5, 9, 2, 28, 32, 25, 29, 33, 
      26, 30, 23, 27, 31, 24 ], 
  [ 43, 35, 38, 41, 44, 36, 39, 42, 34, 37, 40, 21, 15, 20, 14, 19, 13, 18, 
      12, 17, 22, 16, 5, 9, 2, 6, 10, 3, 7, 11, 4, 8, 1, 24, 28, 32, 25, 29, 
      33, 26, 30, 23, 27, 31 ], 
  [ 38, 41, 44, 36, 39, 42, 34, 37, 40, 43, 35, 17, 22, 16, 21, 15, 20, 14, 
      19, 13, 18, 12, 4, 8, 1, 5, 9, 2, 6, 10, 3, 7, 11, 31, 24, 28, 32, 25, 
      29, 33, 26, 30, 23, 27 ], 
  [ 44, 36, 39, 42, 34, 37, 40, 43, 35, 38, 41, 13, 18, 12, 17, 22, 16, 21, 
      15, 20, 14, 19, 3, 7, 11, 4, 8, 1, 5, 9, 2, 6, 10, 27, 31, 24, 28, 32, 
      25, 29, 33, 26, 30, 23 ], 
  [ 39, 42, 34, 37, 40, 43, 35, 38, 41, 44, 36, 20, 14, 19, 13, 18, 12, 17, 
      22, 16, 21, 15, 2, 6, 10, 3, 7, 11, 4, 8, 1, 5, 9, 23, 27, 31, 24, 28, 
      32, 25, 29, 33, 26, 30 ], 
  [ 34, 37, 40, 43, 35, 38, 41, 44, 36, 39, 42, 16, 21, 15, 20, 14, 19, 13, 
      18, 12, 17, 22, 1, 5, 9, 2, 6, 10, 3, 7, 11, 4, 8, 30, 23, 27, 31, 24, 
      28, 32, 25, 29, 33, 26 ], 
  [ 16, 14, 12, 21, 19, 17, 15, 13, 22, 20, 18, 40, 38, 36, 34, 43, 41, 39, 
      37, 35, 44, 42, 23, 28, 33, 27, 32, 26, 31, 25, 30, 24, 29, 10, 11, 1, 
      2, 3, 4, 5, 6, 7, 8, 9 ], 
  [ 12, 21, 19, 17, 15, 13, 22, 20, 18, 16, 14, 35, 44, 42, 40, 38, 36, 34, 
      43, 41, 39, 37, 30, 24, 29, 23, 28, 33, 27, 32, 26, 31, 25, 9, 10, 11, 
      1, 2, 3, 4, 5, 6, 7, 8 ], 
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      38, 36, 34, 43, 26, 31, 25, 30, 24, 29, 23, 28, 33, 27, 32, 8, 9, 10, 
      11, 1, 2, 3, 4, 5, 6, 7 ], 
  [ 15, 13, 22, 20, 18, 16, 14, 12, 21, 19, 17, 36, 34, 43, 41, 39, 37, 35, 
      44, 42, 40, 38, 33, 27, 32, 26, 31, 25, 30, 24, 29, 23, 28, 7, 8, 9, 
      10, 11, 1, 2, 3, 4, 5, 6 ], 
  [ 22, 20, 18, 16, 14, 12, 21, 19, 17, 15, 13, 42, 40, 38, 36, 34, 43, 41, 
      39, 37, 35, 44, 29, 23, 28, 33, 27, 32, 26, 31, 25, 30, 24, 6, 7, 8, 9, 
      10, 11, 1, 2, 3, 4, 5 ], 
  [ 18, 16, 14, 12, 21, 19, 17, 15, 13, 22, 20, 37, 35, 44, 42, 40, 38, 36, 
      34, 43, 41, 39, 25, 30, 24, 29, 23, 28, 33, 27, 32, 26, 31, 5, 6, 7, 8, 
      9, 10, 11, 1, 2, 3, 4 ], 
  [ 14, 12, 21, 19, 17, 15, 13, 22, 20, 18, 16, 43, 41, 39, 37, 35, 44, 42, 
      40, 38, 36, 34, 32, 26, 31, 25, 30, 24, 29, 23, 28, 33, 27, 4, 5, 6, 7, 
      8, 9, 10, 11, 1, 2, 3 ], 
  [ 21, 19, 17, 15, 13, 22, 20, 18, 16, 14, 12, 38, 36, 34, 43, 41, 39, 37, 
      35, 44, 42, 40, 28, 33, 27, 32, 26, 31, 25, 30, 24, 29, 23, 3, 4, 5, 6, 
      7, 8, 9, 10, 11, 1, 2 ], 
  [ 17, 15, 13, 22, 20, 18, 16, 14, 12, 21, 19, 44, 42, 40, 38, 36, 34, 43, 
      41, 39, 37, 35, 24, 29, 23, 28, 33, 27, 32, 26, 31, 25, 30, 2, 3, 4, 5, 
      6, 7, 8, 9, 10, 11, 1 ], 
  [ 13, 22, 20, 18, 16, 14, 12, 21, 19, 17, 15, 39, 37, 35, 44, 42, 40, 38, 
      36, 34, 43, 41, 31, 25, 30, 24, 29, 23, 28, 33, 27, 32, 26, 1, 2, 3, 4, 
      5, 6, 7, 8, 9, 10, 11 ], 
  [ 20, 18, 16, 14, 12, 21, 19, 17, 15, 13, 22, 34, 43, 41, 39, 37, 35, 44, 
      42, 40, 38, 36, 27, 32, 26, 31, 25, 30, 24, 29, 23, 28, 33, 11, 1, 2, 
      3, 4, 5, 6, 7, 8, 9, 10 ], 
  [ 29, 27, 25, 23, 32, 30, 28, 26, 24, 33, 31, 7, 11, 4, 8, 1, 5, 9, 2, 6, 
      10, 3, 13, 18, 12, 17, 22, 16, 21, 15, 20, 14, 19, 34, 39, 44, 38, 43, 
      37, 42, 36, 41, 35, 40 ], 
  [ 28, 26, 24, 33, 31, 29, 27, 25, 23, 32, 30, 4, 8, 1, 5, 9, 2, 6, 10, 3, 
      7, 11, 12, 17, 22, 16, 21, 15, 20, 14, 19, 13, 18, 41, 35, 40, 34, 39, 
      44, 38, 43, 37, 42, 36 ], 
  [ 27, 25, 23, 32, 30, 28, 26, 24, 33, 31, 29, 1, 5, 9, 2, 6, 10, 3, 7, 11, 
      4, 8, 22, 16, 21, 15, 20, 14, 19, 13, 18, 12, 17, 37, 42, 36, 41, 35, 
      40, 34, 39, 44, 38, 43 ], 
  [ 26, 24, 33, 31, 29, 27, 25, 23, 32, 30, 28, 9, 2, 6, 10, 3, 7, 11, 4, 8, 
      1, 5, 21, 15, 20, 14, 19, 13, 18, 12, 17, 22, 16, 44, 38, 43, 37, 42, 
      36, 41, 35, 40, 34, 39 ], 
  [ 25, 23, 32, 30, 28, 26, 24, 33, 31, 29, 27, 6, 10, 3, 7, 11, 4, 8, 1, 5, 
      9, 2, 20, 14, 19, 13, 18, 12, 17, 22, 16, 21, 15, 40, 34, 39, 44, 38, 
      43, 37, 42, 36, 41, 35 ], 
  [ 24, 33, 31, 29, 27, 25, 23, 32, 30, 28, 26, 3, 7, 11, 4, 8, 1, 5, 9, 2, 
      6, 10, 19, 13, 18, 12, 17, 22, 16, 21, 15, 20, 14, 36, 41, 35, 40, 34, 
      39, 44, 38, 43, 37, 42 ], 
  [ 23, 32, 30, 28, 26, 24, 33, 31, 29, 27, 25, 11, 4, 8, 1, 5, 9, 2, 6, 10, 
      3, 7, 18, 12, 17, 22, 16, 21, 15, 20, 14, 19, 13, 43, 37, 42, 36, 41, 
      35, 40, 34, 39, 44, 38 ], 
  [ 33, 31, 29, 27, 25, 23, 32, 30, 28, 26, 24, 8, 1, 5, 9, 2, 6, 10, 3, 7, 
      11, 4, 17, 22, 16, 21, 15, 20, 14, 19, 13, 18, 12, 39, 44, 38, 43, 37, 
      42, 36, 41, 35, 40, 34 ], 
  [ 32, 30, 28, 26, 24, 33, 31, 29, 27, 25, 23, 5, 9, 2, 6, 10, 3, 7, 11, 4, 
      8, 1, 16, 21, 15, 20, 14, 19, 13, 18, 12, 17, 22, 35, 40, 34, 39, 44, 
      38, 43, 37, 42, 36, 41 ], 
  [ 31, 29, 27, 25, 23, 32, 30, 28, 26, 24, 33, 2, 6, 10, 3, 7, 11, 4, 8, 1, 
      5, 9, 15, 20, 14, 19, 13, 18, 12, 17, 22, 16, 21, 42, 36, 41, 35, 40, 
      34, 39, 44, 38, 43, 37 ], 
  [ 30, 28, 26, 24, 33, 31, 29, 27, 25, 23, 32, 10, 3, 7, 11, 4, 8, 1, 5, 9, 
      2, 6, 14, 19, 13, 18, 12, 17, 22, 16, 21, 15, 20, 38, 43, 37, 42, 36, 
      41, 35, 40, 34, 39, 44 ] ]);
QUANDLES[44].implemented := 4;
QUANDLES[44].rack[4] := rec( size := 44, matrix :=
[ [ 1, 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 42, 43, 44, 34, 35, 36, 37, 38, 39, 
      40, 41, 13, 16, 19, 22, 14, 17, 20, 12, 15, 18, 21, 33, 31, 29, 27, 25, 
      23, 32, 30, 28, 26, 24 ], 
  [ 10, 2, 5, 8, 11, 3, 6, 9, 1, 4, 7, 43, 44, 34, 35, 36, 37, 38, 39, 40, 
      41, 42, 16, 19, 22, 14, 17, 20, 12, 15, 18, 21, 13, 25, 23, 32, 30, 28, 
      26, 24, 33, 31, 29, 27 ], 
  [ 8, 11, 3, 6, 9, 1, 4, 7, 10, 2, 5, 44, 34, 35, 36, 37, 38, 39, 40, 41, 
      42, 43, 19, 22, 14, 17, 20, 12, 15, 18, 21, 13, 16, 28, 26, 24, 33, 31, 
      29, 27, 25, 23, 32, 30 ], 
  [ 6, 9, 1, 4, 7, 10, 2, 5, 8, 11, 3, 34, 35, 36, 37, 38, 39, 40, 41, 42, 
      43, 44, 22, 14, 17, 20, 12, 15, 18, 21, 13, 16, 19, 31, 29, 27, 25, 23, 
      32, 30, 28, 26, 24, 33 ], 
  [ 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 1, 35, 36, 37, 38, 39, 40, 41, 42, 43, 
      44, 34, 14, 17, 20, 12, 15, 18, 21, 13, 16, 19, 22, 23, 32, 30, 28, 26, 
      24, 33, 31, 29, 27, 25 ], 
  [ 2, 5, 8, 11, 3, 6, 9, 1, 4, 7, 10, 36, 37, 38, 39, 40, 41, 42, 43, 44, 
      34, 35, 17, 20, 12, 15, 18, 21, 13, 16, 19, 22, 14, 26, 24, 33, 31, 29, 
      27, 25, 23, 32, 30, 28 ], 
  [ 11, 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 37, 38, 39, 40, 41, 42, 43, 44, 34, 
      35, 36, 20, 12, 15, 18, 21, 13, 16, 19, 22, 14, 17, 29, 27, 25, 23, 32, 
      30, 28, 26, 24, 33, 31 ], 
  [ 9, 1, 4, 7, 10, 2, 5, 8, 11, 3, 6, 38, 39, 40, 41, 42, 43, 44, 34, 35, 
      36, 37, 12, 15, 18, 21, 13, 16, 19, 22, 14, 17, 20, 32, 30, 28, 26, 24, 
      33, 31, 29, 27, 25, 23 ], 
  [ 7, 10, 2, 5, 8, 11, 3, 6, 9, 1, 4, 39, 40, 41, 42, 43, 44, 34, 35, 36, 
      37, 38, 15, 18, 21, 13, 16, 19, 22, 14, 17, 20, 12, 24, 33, 31, 29, 27, 
      25, 23, 32, 30, 28, 26 ], 
  [ 5, 8, 11, 3, 6, 9, 1, 4, 7, 10, 2, 40, 41, 42, 43, 44, 34, 35, 36, 37, 
      38, 39, 18, 21, 13, 16, 19, 22, 14, 17, 20, 12, 15, 27, 25, 23, 32, 30, 
      28, 26, 24, 33, 31, 29 ], 
  [ 3, 6, 9, 1, 4, 7, 10, 2, 5, 8, 11, 41, 42, 43, 44, 34, 35, 36, 37, 38, 
      39, 40, 21, 13, 16, 19, 22, 14, 17, 20, 12, 15, 18, 30, 28, 26, 24, 33, 
      31, 29, 27, 25, 23, 32 ], 
  [ 28, 29, 30, 31, 32, 33, 23, 24, 25, 26, 27, 12, 15, 18, 21, 13, 16, 19, 
      22, 14, 17, 20, 37, 38, 39, 40, 41, 42, 43, 44, 34, 35, 36, 1, 6, 11, 
      5, 10, 4, 9, 3, 8, 2, 7 ], 
  [ 26, 27, 28, 29, 30, 31, 32, 33, 23, 24, 25, 21, 13, 16, 19, 22, 14, 17, 
      20, 12, 15, 18, 40, 41, 42, 43, 44, 34, 35, 36, 37, 38, 39, 6, 11, 5, 
      10, 4, 9, 3, 8, 2, 7, 1 ], 
  [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 23, 19, 22, 14, 17, 20, 12, 15, 
      18, 21, 13, 16, 43, 44, 34, 35, 36, 37, 38, 39, 40, 41, 42, 11, 5, 10, 
      4, 9, 3, 8, 2, 7, 1, 6 ], 
  [ 33, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 17, 20, 12, 15, 18, 21, 13, 
      16, 19, 22, 14, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 34, 5, 10, 4, 
      9, 3, 8, 2, 7, 1, 6, 11 ], 
  [ 31, 32, 33, 23, 24, 25, 26, 27, 28, 29, 30, 15, 18, 21, 13, 16, 19, 22, 
      14, 17, 20, 12, 38, 39, 40, 41, 42, 43, 44, 34, 35, 36, 37, 10, 4, 9, 
      3, 8, 2, 7, 1, 6, 11, 5 ], 
  [ 29, 30, 31, 32, 33, 23, 24, 25, 26, 27, 28, 13, 16, 19, 22, 14, 17, 20, 
      12, 15, 18, 21, 41, 42, 43, 44, 34, 35, 36, 37, 38, 39, 40, 4, 9, 3, 8, 
      2, 7, 1, 6, 11, 5, 10 ], 
  [ 27, 28, 29, 30, 31, 32, 33, 23, 24, 25, 26, 22, 14, 17, 20, 12, 15, 18, 
      21, 13, 16, 19, 44, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 9, 3, 8, 2, 
      7, 1, 6, 11, 5, 10, 4 ], 
  [ 25, 26, 27, 28, 29, 30, 31, 32, 33, 23, 24, 20, 12, 15, 18, 21, 13, 16, 
      19, 22, 14, 17, 36, 37, 38, 39, 40, 41, 42, 43, 44, 34, 35, 3, 8, 2, 7, 
      1, 6, 11, 5, 10, 4, 9 ], 
  [ 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 18, 21, 13, 16, 19, 22, 14, 
      17, 20, 12, 15, 39, 40, 41, 42, 43, 44, 34, 35, 36, 37, 38, 8, 2, 7, 1, 
      6, 11, 5, 10, 4, 9, 3 ], 
  [ 32, 33, 23, 24, 25, 26, 27, 28, 29, 30, 31, 16, 19, 22, 14, 17, 20, 12, 
      15, 18, 21, 13, 42, 43, 44, 34, 35, 36, 37, 38, 39, 40, 41, 2, 7, 1, 6, 
      11, 5, 10, 4, 9, 3, 8 ], 
  [ 30, 31, 32, 33, 23, 24, 25, 26, 27, 28, 29, 14, 17, 20, 12, 15, 18, 21, 
      13, 16, 19, 22, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 7, 1, 6, 
      11, 5, 10, 4, 9, 3, 8, 2 ], 
  [ 43, 36, 40, 44, 37, 41, 34, 38, 42, 35, 39, 5, 3, 1, 10, 8, 6, 4, 2, 11, 
      9, 7, 23, 26, 29, 32, 24, 27, 30, 33, 25, 28, 31, 20, 18, 16, 14, 12, 
      21, 19, 17, 15, 13, 22 ], 
  [ 35, 39, 43, 36, 40, 44, 37, 41, 34, 38, 42, 10, 8, 6, 4, 2, 11, 9, 7, 5, 
      3, 1, 32, 24, 27, 30, 33, 25, 28, 31, 23, 26, 29, 18, 16, 14, 12, 21, 
      19, 17, 15, 13, 22, 20 ], 
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      8, 6, 30, 33, 25, 28, 31, 23, 26, 29, 32, 24, 27, 16, 14, 12, 21, 19, 
      17, 15, 13, 22, 20, 18 ], 
  [ 41, 34, 38, 42, 35, 39, 43, 36, 40, 44, 37, 9, 7, 5, 3, 1, 10, 8, 6, 4, 
      2, 11, 28, 31, 23, 26, 29, 32, 24, 27, 30, 33, 25, 14, 12, 21, 19, 17, 
      15, 13, 22, 20, 18, 16 ], 
  [ 44, 37, 41, 34, 38, 42, 35, 39, 43, 36, 40, 3, 1, 10, 8, 6, 4, 2, 11, 9, 
      7, 5, 26, 29, 32, 24, 27, 30, 33, 25, 28, 31, 23, 12, 21, 19, 17, 15, 
      13, 22, 20, 18, 16, 14 ], 
  [ 36, 40, 44, 37, 41, 34, 38, 42, 35, 39, 43, 8, 6, 4, 2, 11, 9, 7, 5, 3, 
      1, 10, 24, 27, 30, 33, 25, 28, 31, 23, 26, 29, 32, 21, 19, 17, 15, 13, 
      22, 20, 18, 16, 14, 12 ], 
  [ 39, 43, 36, 40, 44, 37, 41, 34, 38, 42, 35, 2, 11, 9, 7, 5, 3, 1, 10, 8, 
      6, 4, 33, 25, 28, 31, 23, 26, 29, 32, 24, 27, 30, 19, 17, 15, 13, 22, 
      20, 18, 16, 14, 12, 21 ], 
  [ 42, 35, 39, 43, 36, 40, 44, 37, 41, 34, 38, 7, 5, 3, 1, 10, 8, 6, 4, 2, 
      11, 9, 31, 23, 26, 29, 32, 24, 27, 30, 33, 25, 28, 17, 15, 13, 22, 20, 
      18, 16, 14, 12, 21, 19 ], 
  [ 34, 38, 42, 35, 39, 43, 36, 40, 44, 37, 41, 1, 10, 8, 6, 4, 2, 11, 9, 7, 
      5, 3, 29, 32, 24, 27, 30, 33, 25, 28, 31, 23, 26, 15, 13, 22, 20, 18, 
      16, 14, 12, 21, 19, 17 ], 
  [ 37, 41, 34, 38, 42, 35, 39, 43, 36, 40, 44, 6, 4, 2, 11, 9, 7, 5, 3, 1, 
      10, 8, 27, 30, 33, 25, 28, 31, 23, 26, 29, 32, 24, 13, 22, 20, 18, 16, 
      14, 12, 21, 19, 17, 15 ], 
  [ 40, 44, 37, 41, 34, 38, 42, 35, 39, 43, 36, 11, 9, 7, 5, 3, 1, 10, 8, 6, 
      4, 2, 25, 28, 31, 23, 26, 29, 32, 24, 27, 30, 33, 22, 20, 18, 16, 14, 
      12, 21, 19, 17, 15, 13 ], 
  [ 21, 22, 12, 13, 14, 15, 16, 17, 18, 19, 20, 28, 31, 23, 26, 29, 32, 24, 
      27, 30, 33, 25, 11, 9, 7, 5, 3, 1, 10, 8, 6, 4, 2, 34, 37, 40, 43, 35, 
      38, 41, 44, 36, 39, 42 ], 
  [ 15, 16, 17, 18, 19, 20, 21, 22, 12, 13, 14, 33, 25, 28, 31, 23, 26, 29, 
      32, 24, 27, 30, 4, 2, 11, 9, 7, 5, 3, 1, 10, 8, 6, 43, 35, 38, 41, 44, 
      36, 39, 42, 34, 37, 40 ], 
  [ 20, 21, 22, 12, 13, 14, 15, 16, 17, 18, 19, 27, 30, 33, 25, 28, 31, 23, 
      26, 29, 32, 24, 8, 6, 4, 2, 11, 9, 7, 5, 3, 1, 10, 41, 44, 36, 39, 42, 
      34, 37, 40, 43, 35, 38 ], 
  [ 14, 15, 16, 17, 18, 19, 20, 21, 22, 12, 13, 32, 24, 27, 30, 33, 25, 28, 
      31, 23, 26, 29, 1, 10, 8, 6, 4, 2, 11, 9, 7, 5, 3, 39, 42, 34, 37, 40, 
      43, 35, 38, 41, 44, 36 ], 
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      25, 28, 31, 23, 5, 3, 1, 10, 8, 6, 4, 2, 11, 9, 7, 37, 40, 43, 35, 38, 
      41, 44, 36, 39, 42, 34 ], 
  [ 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 12, 31, 23, 26, 29, 32, 24, 27, 
      30, 33, 25, 28, 9, 7, 5, 3, 1, 10, 8, 6, 4, 2, 11, 35, 38, 41, 44, 36, 
      39, 42, 34, 37, 40, 43 ], 
  [ 18, 19, 20, 21, 22, 12, 13, 14, 15, 16, 17, 25, 28, 31, 23, 26, 29, 32, 
      24, 27, 30, 33, 2, 11, 9, 7, 5, 3, 1, 10, 8, 6, 4, 44, 36, 39, 42, 34, 
      37, 40, 43, 35, 38, 41 ], 
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      29, 32, 24, 27, 6, 4, 2, 11, 9, 7, 5, 3, 1, 10, 8, 42, 34, 37, 40, 43, 
      35, 38, 41, 44, 36, 39 ], 
  [ 17, 18, 19, 20, 21, 22, 12, 13, 14, 15, 16, 24, 27, 30, 33, 25, 28, 31, 
      23, 26, 29, 32, 10, 8, 6, 4, 2, 11, 9, 7, 5, 3, 1, 40, 43, 35, 38, 41, 
      44, 36, 39, 42, 34, 37 ], 
  [ 22, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 29, 32, 24, 27, 30, 33, 25, 
      28, 31, 23, 26, 3, 1, 10, 8, 6, 4, 2, 11, 9, 7, 5, 38, 41, 44, 36, 39, 
      42, 34, 37, 40, 43, 35 ], 
  [ 16, 17, 18, 19, 20, 21, 22, 12, 13, 14, 15, 23, 26, 29, 32, 24, 27, 30, 
      33, 25, 28, 31, 7, 5, 3, 1, 10, 8, 6, 4, 2, 11, 9, 36, 39, 42, 34, 37, 
      40, 43, 35, 38, 41, 44 ] ]);
QUANDLES[44].implemented := 5;
QUANDLES[44].rack[5] := rec( size := 44, matrix :=
[ [ 1, 10, 8, 6, 4, 2, 11, 9, 7, 5, 3, 28, 26, 24, 33, 31, 29, 27, 25, 23, 
      32, 30, 43, 35, 38, 41, 44, 36, 39, 42, 34, 37, 40, 21, 15, 20, 14, 19, 
      13, 18, 12, 17, 22, 16 ], 
  [ 4, 2, 11, 9, 7, 5, 3, 1, 10, 8, 6, 29, 27, 25, 23, 32, 30, 28, 26, 24, 
      33, 31, 36, 39, 42, 34, 37, 40, 43, 35, 38, 41, 44, 22, 16, 21, 15, 20, 
      14, 19, 13, 18, 12, 17 ], 
  [ 7, 5, 3, 1, 10, 8, 6, 4, 2, 11, 9, 30, 28, 26, 24, 33, 31, 29, 27, 25, 
      23, 32, 40, 43, 35, 38, 41, 44, 36, 39, 42, 34, 37, 12, 17, 22, 16, 21, 
      15, 20, 14, 19, 13, 18 ], 
  [ 10, 8, 6, 4, 2, 11, 9, 7, 5, 3, 1, 31, 29, 27, 25, 23, 32, 30, 28, 26, 
      24, 33, 44, 36, 39, 42, 34, 37, 40, 43, 35, 38, 41, 13, 18, 12, 17, 22, 
      16, 21, 15, 20, 14, 19 ], 
  [ 2, 11, 9, 7, 5, 3, 1, 10, 8, 6, 4, 32, 30, 28, 26, 24, 33, 31, 29, 27, 
      25, 23, 37, 40, 43, 35, 38, 41, 44, 36, 39, 42, 34, 14, 19, 13, 18, 12, 
      17, 22, 16, 21, 15, 20 ], 
  [ 5, 3, 1, 10, 8, 6, 4, 2, 11, 9, 7, 33, 31, 29, 27, 25, 23, 32, 30, 28, 
      26, 24, 41, 44, 36, 39, 42, 34, 37, 40, 43, 35, 38, 15, 20, 14, 19, 13, 
      18, 12, 17, 22, 16, 21 ], 
  [ 8, 6, 4, 2, 11, 9, 7, 5, 3, 1, 10, 23, 32, 30, 28, 26, 24, 33, 31, 29, 
      27, 25, 34, 37, 40, 43, 35, 38, 41, 44, 36, 39, 42, 16, 21, 15, 20, 14, 
      19, 13, 18, 12, 17, 22 ], 
  [ 11, 9, 7, 5, 3, 1, 10, 8, 6, 4, 2, 24, 33, 31, 29, 27, 25, 23, 32, 30, 
      28, 26, 38, 41, 44, 36, 39, 42, 34, 37, 40, 43, 35, 17, 22, 16, 21, 15, 
      20, 14, 19, 13, 18, 12 ], 
  [ 3, 1, 10, 8, 6, 4, 2, 11, 9, 7, 5, 25, 23, 32, 30, 28, 26, 24, 33, 31, 
      29, 27, 42, 34, 37, 40, 43, 35, 38, 41, 44, 36, 39, 18, 12, 17, 22, 16, 
      21, 15, 20, 14, 19, 13 ], 
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      30, 28, 35, 38, 41, 44, 36, 39, 42, 34, 37, 40, 43, 19, 13, 18, 12, 17, 
      22, 16, 21, 15, 20, 14 ], 
  [ 9, 7, 5, 3, 1, 10, 8, 6, 4, 2, 11, 27, 25, 23, 32, 30, 28, 26, 24, 33, 
      31, 29, 39, 42, 34, 37, 40, 43, 35, 38, 41, 44, 36, 20, 14, 19, 13, 18, 
      12, 17, 22, 16, 21, 15 ], 
  [ 42, 43, 44, 34, 35, 36, 37, 38, 39, 40, 41, 12, 21, 19, 17, 15, 13, 22, 
      20, 18, 16, 14, 5, 10, 4, 9, 3, 8, 2, 7, 1, 6, 11, 28, 33, 27, 32, 26, 
      31, 25, 30, 24, 29, 23 ], 
  [ 43, 44, 34, 35, 36, 37, 38, 39, 40, 41, 42, 15, 13, 22, 20, 18, 16, 14, 
      12, 21, 19, 17, 3, 8, 2, 7, 1, 6, 11, 5, 10, 4, 9, 31, 25, 30, 24, 29, 
      23, 28, 33, 27, 32, 26 ], 
  [ 44, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 18, 16, 14, 12, 21, 19, 17, 
      15, 13, 22, 20, 1, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 23, 28, 33, 27, 32, 
      26, 31, 25, 30, 24, 29 ], 
  [ 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 21, 19, 17, 15, 13, 22, 20, 
      18, 16, 14, 12, 10, 4, 9, 3, 8, 2, 7, 1, 6, 11, 5, 26, 31, 25, 30, 24, 
      29, 23, 28, 33, 27, 32 ], 
  [ 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 34, 13, 22, 20, 18, 16, 14, 12, 
      21, 19, 17, 15, 8, 2, 7, 1, 6, 11, 5, 10, 4, 9, 3, 29, 23, 28, 33, 27, 
      32, 26, 31, 25, 30, 24 ], 
  [ 36, 37, 38, 39, 40, 41, 42, 43, 44, 34, 35, 16, 14, 12, 21, 19, 17, 15, 
      13, 22, 20, 18, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1, 32, 26, 31, 25, 30, 
      24, 29, 23, 28, 33, 27 ], 
  [ 37, 38, 39, 40, 41, 42, 43, 44, 34, 35, 36, 19, 17, 15, 13, 22, 20, 18, 
      16, 14, 12, 21, 4, 9, 3, 8, 2, 7, 1, 6, 11, 5, 10, 24, 29, 23, 28, 33, 
      27, 32, 26, 31, 25, 30 ], 
  [ 38, 39, 40, 41, 42, 43, 44, 34, 35, 36, 37, 22, 20, 18, 16, 14, 12, 21, 
      19, 17, 15, 13, 2, 7, 1, 6, 11, 5, 10, 4, 9, 3, 8, 27, 32, 26, 31, 25, 
      30, 24, 29, 23, 28, 33 ], 
  [ 39, 40, 41, 42, 43, 44, 34, 35, 36, 37, 38, 14, 12, 21, 19, 17, 15, 13, 
      22, 20, 18, 16, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1, 6, 30, 24, 29, 23, 28, 
      33, 27, 32, 26, 31, 25 ], 
  [ 40, 41, 42, 43, 44, 34, 35, 36, 37, 38, 39, 17, 15, 13, 22, 20, 18, 16, 
      14, 12, 21, 19, 9, 3, 8, 2, 7, 1, 6, 11, 5, 10, 4, 33, 27, 32, 26, 31, 
      25, 30, 24, 29, 23, 28 ], 
  [ 41, 42, 43, 44, 34, 35, 36, 37, 38, 39, 40, 20, 18, 16, 14, 12, 21, 19, 
      17, 15, 13, 22, 7, 1, 6, 11, 5, 10, 4, 9, 3, 8, 2, 25, 30, 24, 29, 23, 
      28, 33, 27, 32, 26, 31 ], 
  [ 13, 16, 19, 22, 14, 17, 20, 12, 15, 18, 21, 37, 40, 43, 35, 38, 41, 44, 
      36, 39, 42, 34, 23, 32, 30, 28, 26, 24, 33, 31, 29, 27, 25, 11, 4, 8, 
      1, 5, 9, 2, 6, 10, 3, 7 ], 
  [ 16, 19, 22, 14, 17, 20, 12, 15, 18, 21, 13, 38, 41, 44, 36, 39, 42, 34, 
      37, 40, 43, 35, 26, 24, 33, 31, 29, 27, 25, 23, 32, 30, 28, 9, 2, 6, 
      10, 3, 7, 11, 4, 8, 1, 5 ], 
  [ 19, 22, 14, 17, 20, 12, 15, 18, 21, 13, 16, 39, 42, 34, 37, 40, 43, 35, 
      38, 41, 44, 36, 29, 27, 25, 23, 32, 30, 28, 26, 24, 33, 31, 7, 11, 4, 
      8, 1, 5, 9, 2, 6, 10, 3 ], 
  [ 22, 14, 17, 20, 12, 15, 18, 21, 13, 16, 19, 40, 43, 35, 38, 41, 44, 36, 
      39, 42, 34, 37, 32, 30, 28, 26, 24, 33, 31, 29, 27, 25, 23, 5, 9, 2, 6, 
      10, 3, 7, 11, 4, 8, 1 ], 
  [ 14, 17, 20, 12, 15, 18, 21, 13, 16, 19, 22, 41, 44, 36, 39, 42, 34, 37, 
      40, 43, 35, 38, 24, 33, 31, 29, 27, 25, 23, 32, 30, 28, 26, 3, 7, 11, 
      4, 8, 1, 5, 9, 2, 6, 10 ], 
  [ 17, 20, 12, 15, 18, 21, 13, 16, 19, 22, 14, 42, 34, 37, 40, 43, 35, 38, 
      41, 44, 36, 39, 27, 25, 23, 32, 30, 28, 26, 24, 33, 31, 29, 1, 5, 9, 2, 
      6, 10, 3, 7, 11, 4, 8 ], 
  [ 20, 12, 15, 18, 21, 13, 16, 19, 22, 14, 17, 43, 35, 38, 41, 44, 36, 39, 
      42, 34, 37, 40, 30, 28, 26, 24, 33, 31, 29, 27, 25, 23, 32, 10, 3, 7, 
      11, 4, 8, 1, 5, 9, 2, 6 ], 
  [ 12, 15, 18, 21, 13, 16, 19, 22, 14, 17, 20, 44, 36, 39, 42, 34, 37, 40, 
      43, 35, 38, 41, 33, 31, 29, 27, 25, 23, 32, 30, 28, 26, 24, 8, 1, 5, 9, 
      2, 6, 10, 3, 7, 11, 4 ], 
  [ 15, 18, 21, 13, 16, 19, 22, 14, 17, 20, 12, 34, 37, 40, 43, 35, 38, 41, 
      44, 36, 39, 42, 25, 23, 32, 30, 28, 26, 24, 33, 31, 29, 27, 6, 10, 3, 
      7, 11, 4, 8, 1, 5, 9, 2 ], 
  [ 18, 21, 13, 16, 19, 22, 14, 17, 20, 12, 15, 35, 38, 41, 44, 36, 39, 42, 
      34, 37, 40, 43, 28, 26, 24, 33, 31, 29, 27, 25, 23, 32, 30, 4, 8, 1, 5, 
      9, 2, 6, 10, 3, 7, 11 ], 
  [ 21, 13, 16, 19, 22, 14, 17, 20, 12, 15, 18, 36, 39, 42, 34, 37, 40, 43, 
      35, 38, 41, 44, 31, 29, 27, 25, 23, 32, 30, 28, 26, 24, 33, 2, 6, 10, 
      3, 7, 11, 4, 8, 1, 5, 9 ], 
  [ 33, 25, 28, 31, 23, 26, 29, 32, 24, 27, 30, 1, 6, 11, 5, 10, 4, 9, 3, 8, 
      2, 7, 20, 18, 16, 14, 12, 21, 19, 17, 15, 13, 22, 34, 43, 41, 39, 37, 
      35, 44, 42, 40, 38, 36 ], 
  [ 31, 23, 26, 29, 32, 24, 27, 30, 33, 25, 28, 6, 11, 5, 10, 4, 9, 3, 8, 2, 
      7, 1, 18, 16, 14, 12, 21, 19, 17, 15, 13, 22, 20, 37, 35, 44, 42, 40, 
      38, 36, 34, 43, 41, 39 ], 
  [ 29, 32, 24, 27, 30, 33, 25, 28, 31, 23, 26, 11, 5, 10, 4, 9, 3, 8, 2, 7, 
      1, 6, 16, 14, 12, 21, 19, 17, 15, 13, 22, 20, 18, 40, 38, 36, 34, 43, 
      41, 39, 37, 35, 44, 42 ], 
  [ 27, 30, 33, 25, 28, 31, 23, 26, 29, 32, 24, 5, 10, 4, 9, 3, 8, 2, 7, 1, 
      6, 11, 14, 12, 21, 19, 17, 15, 13, 22, 20, 18, 16, 43, 41, 39, 37, 35, 
      44, 42, 40, 38, 36, 34 ], 
  [ 25, 28, 31, 23, 26, 29, 32, 24, 27, 30, 33, 10, 4, 9, 3, 8, 2, 7, 1, 6, 
      11, 5, 12, 21, 19, 17, 15, 13, 22, 20, 18, 16, 14, 35, 44, 42, 40, 38, 
      36, 34, 43, 41, 39, 37 ], 
  [ 23, 26, 29, 32, 24, 27, 30, 33, 25, 28, 31, 4, 9, 3, 8, 2, 7, 1, 6, 11, 
      5, 10, 21, 19, 17, 15, 13, 22, 20, 18, 16, 14, 12, 38, 36, 34, 43, 41, 
      39, 37, 35, 44, 42, 40 ], 
  [ 32, 24, 27, 30, 33, 25, 28, 31, 23, 26, 29, 9, 3, 8, 2, 7, 1, 6, 11, 5, 
      10, 4, 19, 17, 15, 13, 22, 20, 18, 16, 14, 12, 21, 41, 39, 37, 35, 44, 
      42, 40, 38, 36, 34, 43 ], 
  [ 30, 33, 25, 28, 31, 23, 26, 29, 32, 24, 27, 3, 8, 2, 7, 1, 6, 11, 5, 10, 
      4, 9, 17, 15, 13, 22, 20, 18, 16, 14, 12, 21, 19, 44, 42, 40, 38, 36, 
      34, 43, 41, 39, 37, 35 ], 
  [ 28, 31, 23, 26, 29, 32, 24, 27, 30, 33, 25, 8, 2, 7, 1, 6, 11, 5, 10, 4, 
      9, 3, 15, 13, 22, 20, 18, 16, 14, 12, 21, 19, 17, 36, 34, 43, 41, 39, 
      37, 35, 44, 42, 40, 38 ], 
  [ 26, 29, 32, 24, 27, 30, 33, 25, 28, 31, 23, 2, 7, 1, 6, 11, 5, 10, 4, 9, 
      3, 8, 13, 22, 20, 18, 16, 14, 12, 21, 19, 17, 15, 39, 37, 35, 44, 42, 
      40, 38, 36, 34, 43, 41 ], 
  [ 24, 27, 30, 33, 25, 28, 31, 23, 26, 29, 32, 7, 1, 6, 11, 5, 10, 4, 9, 3, 
      8, 2, 22, 20, 18, 16, 14, 12, 21, 19, 17, 15, 13, 42, 40, 38, 36, 34, 
      43, 41, 39, 37, 35, 44 ] ]);
QUANDLES[44].implemented := 6;
QUANDLES[44].rack[6] := rec( size := 44, matrix :=
[ [ 1, 3, 5, 7, 9, 11, 2, 4, 6, 8, 10, 41, 43, 34, 36, 38, 40, 42, 44, 35, 
      37, 39, 12, 14, 16, 18, 20, 22, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, 
      24, 26, 28, 30, 32, 23 ], 
  [ 11, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 40, 42, 44, 35, 37, 39, 41, 43, 34, 
      36, 38, 22, 13, 15, 17, 19, 21, 12, 14, 16, 18, 20, 24, 26, 28, 30, 32, 
      23, 25, 27, 29, 31, 33 ], 
  [ 10, 1, 3, 5, 7, 9, 11, 2, 4, 6, 8, 39, 41, 43, 34, 36, 38, 40, 42, 44, 
      35, 37, 21, 12, 14, 16, 18, 20, 22, 13, 15, 17, 19, 23, 25, 27, 29, 31, 
      33, 24, 26, 28, 30, 32 ], 
  [ 9, 11, 2, 4, 6, 8, 10, 1, 3, 5, 7, 38, 40, 42, 44, 35, 37, 39, 41, 43, 
      34, 36, 20, 22, 13, 15, 17, 19, 21, 12, 14, 16, 18, 33, 24, 26, 28, 30, 
      32, 23, 25, 27, 29, 31 ], 
  [ 8, 10, 1, 3, 5, 7, 9, 11, 2, 4, 6, 37, 39, 41, 43, 34, 36, 38, 40, 42, 
      44, 35, 19, 21, 12, 14, 16, 18, 20, 22, 13, 15, 17, 32, 23, 25, 27, 29, 
      31, 33, 24, 26, 28, 30 ], 
  [ 7, 9, 11, 2, 4, 6, 8, 10, 1, 3, 5, 36, 38, 40, 42, 44, 35, 37, 39, 41, 
      43, 34, 18, 20, 22, 13, 15, 17, 19, 21, 12, 14, 16, 31, 33, 24, 26, 28, 
      30, 32, 23, 25, 27, 29 ], 
  [ 6, 8, 10, 1, 3, 5, 7, 9, 11, 2, 4, 35, 37, 39, 41, 43, 34, 36, 38, 40, 
      42, 44, 17, 19, 21, 12, 14, 16, 18, 20, 22, 13, 15, 30, 32, 23, 25, 27, 
      29, 31, 33, 24, 26, 28 ], 
  [ 5, 7, 9, 11, 2, 4, 6, 8, 10, 1, 3, 34, 36, 38, 40, 42, 44, 35, 37, 39, 
      41, 43, 16, 18, 20, 22, 13, 15, 17, 19, 21, 12, 14, 29, 31, 33, 24, 26, 
      28, 30, 32, 23, 25, 27 ], 
  [ 4, 6, 8, 10, 1, 3, 5, 7, 9, 11, 2, 44, 35, 37, 39, 41, 43, 34, 36, 38, 
      40, 42, 15, 17, 19, 21, 12, 14, 16, 18, 20, 22, 13, 28, 30, 32, 23, 25, 
      27, 29, 31, 33, 24, 26 ], 
  [ 3, 5, 7, 9, 11, 2, 4, 6, 8, 10, 1, 43, 34, 36, 38, 40, 42, 44, 35, 37, 
      39, 41, 14, 16, 18, 20, 22, 13, 15, 17, 19, 21, 12, 27, 29, 31, 33, 24, 
      26, 28, 30, 32, 23, 25 ], 
  [ 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11, 42, 44, 35, 37, 39, 41, 43, 34, 36, 
      38, 40, 13, 15, 17, 19, 21, 12, 14, 16, 18, 20, 22, 26, 28, 30, 32, 23, 
      25, 27, 29, 31, 33, 24 ], 
  [ 24, 26, 28, 30, 32, 23, 25, 27, 29, 31, 33, 12, 14, 16, 18, 20, 22, 13, 
      15, 17, 19, 21, 35, 37, 39, 41, 43, 34, 36, 38, 40, 42, 44, 7, 9, 11, 
      2, 4, 6, 8, 10, 1, 3, 5 ], 
  [ 23, 25, 27, 29, 31, 33, 24, 26, 28, 30, 32, 22, 13, 15, 17, 19, 21, 12, 
      14, 16, 18, 20, 34, 36, 38, 40, 42, 44, 35, 37, 39, 41, 43, 6, 8, 10, 
      1, 3, 5, 7, 9, 11, 2, 4 ], 
  [ 33, 24, 26, 28, 30, 32, 23, 25, 27, 29, 31, 21, 12, 14, 16, 18, 20, 22, 
      13, 15, 17, 19, 44, 35, 37, 39, 41, 43, 34, 36, 38, 40, 42, 5, 7, 9, 
      11, 2, 4, 6, 8, 10, 1, 3 ], 
  [ 32, 23, 25, 27, 29, 31, 33, 24, 26, 28, 30, 20, 22, 13, 15, 17, 19, 21, 
      12, 14, 16, 18, 43, 34, 36, 38, 40, 42, 44, 35, 37, 39, 41, 4, 6, 8, 
      10, 1, 3, 5, 7, 9, 11, 2 ], 
  [ 31, 33, 24, 26, 28, 30, 32, 23, 25, 27, 29, 19, 21, 12, 14, 16, 18, 20, 
      22, 13, 15, 17, 42, 44, 35, 37, 39, 41, 43, 34, 36, 38, 40, 3, 5, 7, 9, 
      11, 2, 4, 6, 8, 10, 1 ], 
  [ 30, 32, 23, 25, 27, 29, 31, 33, 24, 26, 28, 18, 20, 22, 13, 15, 17, 19, 
      21, 12, 14, 16, 41, 43, 34, 36, 38, 40, 42, 44, 35, 37, 39, 2, 4, 6, 8, 
      10, 1, 3, 5, 7, 9, 11 ], 
  [ 29, 31, 33, 24, 26, 28, 30, 32, 23, 25, 27, 17, 19, 21, 12, 14, 16, 18, 
      20, 22, 13, 15, 40, 42, 44, 35, 37, 39, 41, 43, 34, 36, 38, 1, 3, 5, 7, 
      9, 11, 2, 4, 6, 8, 10 ], 
  [ 28, 30, 32, 23, 25, 27, 29, 31, 33, 24, 26, 16, 18, 20, 22, 13, 15, 17, 
      19, 21, 12, 14, 39, 41, 43, 34, 36, 38, 40, 42, 44, 35, 37, 11, 2, 4, 
      6, 8, 10, 1, 3, 5, 7, 9 ], 
  [ 27, 29, 31, 33, 24, 26, 28, 30, 32, 23, 25, 15, 17, 19, 21, 12, 14, 16, 
      18, 20, 22, 13, 38, 40, 42, 44, 35, 37, 39, 41, 43, 34, 36, 10, 1, 3, 
      5, 7, 9, 11, 2, 4, 6, 8 ], 
  [ 26, 28, 30, 32, 23, 25, 27, 29, 31, 33, 24, 14, 16, 18, 20, 22, 13, 15, 
      17, 19, 21, 12, 37, 39, 41, 43, 34, 36, 38, 40, 42, 44, 35, 9, 11, 2, 
      4, 6, 8, 10, 1, 3, 5, 7 ], 
  [ 25, 27, 29, 31, 33, 24, 26, 28, 30, 32, 23, 13, 15, 17, 19, 21, 12, 14, 
      16, 18, 20, 22, 36, 38, 40, 42, 44, 35, 37, 39, 41, 43, 34, 8, 10, 1, 
      3, 5, 7, 9, 11, 2, 4, 6 ], 
  [ 39, 41, 43, 34, 36, 38, 40, 42, 44, 35, 37, 11, 2, 4, 6, 8, 10, 1, 3, 5, 
      7, 9, 23, 25, 27, 29, 31, 33, 24, 26, 28, 30, 32, 22, 13, 15, 17, 19, 
      21, 12, 14, 16, 18, 20 ], 
  [ 38, 40, 42, 44, 35, 37, 39, 41, 43, 34, 36, 10, 1, 3, 5, 7, 9, 11, 2, 4, 
      6, 8, 33, 24, 26, 28, 30, 32, 23, 25, 27, 29, 31, 21, 12, 14, 16, 18, 
      20, 22, 13, 15, 17, 19 ], 
  [ 37, 39, 41, 43, 34, 36, 38, 40, 42, 44, 35, 9, 11, 2, 4, 6, 8, 10, 1, 3, 
      5, 7, 32, 23, 25, 27, 29, 31, 33, 24, 26, 28, 30, 20, 22, 13, 15, 17, 
      19, 21, 12, 14, 16, 18 ], 
  [ 36, 38, 40, 42, 44, 35, 37, 39, 41, 43, 34, 8, 10, 1, 3, 5, 7, 9, 11, 2, 
      4, 6, 31, 33, 24, 26, 28, 30, 32, 23, 25, 27, 29, 19, 21, 12, 14, 16, 
      18, 20, 22, 13, 15, 17 ], 
  [ 35, 37, 39, 41, 43, 34, 36, 38, 40, 42, 44, 7, 9, 11, 2, 4, 6, 8, 10, 1, 
      3, 5, 30, 32, 23, 25, 27, 29, 31, 33, 24, 26, 28, 18, 20, 22, 13, 15, 
      17, 19, 21, 12, 14, 16 ], 
  [ 34, 36, 38, 40, 42, 44, 35, 37, 39, 41, 43, 6, 8, 10, 1, 3, 5, 7, 9, 11, 
      2, 4, 29, 31, 33, 24, 26, 28, 30, 32, 23, 25, 27, 17, 19, 21, 12, 14, 
      16, 18, 20, 22, 13, 15 ], 
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      1, 3, 28, 30, 32, 23, 25, 27, 29, 31, 33, 24, 26, 16, 18, 20, 22, 13, 
      15, 17, 19, 21, 12, 14 ], 
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      11, 2, 27, 29, 31, 33, 24, 26, 28, 30, 32, 23, 25, 15, 17, 19, 21, 12, 
      14, 16, 18, 20, 22, 13 ], 
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      10, 1, 26, 28, 30, 32, 23, 25, 27, 29, 31, 33, 24, 14, 16, 18, 20, 22, 
      13, 15, 17, 19, 21, 12 ], 
  [ 41, 43, 34, 36, 38, 40, 42, 44, 35, 37, 39, 2, 4, 6, 8, 10, 1, 3, 5, 7, 
      9, 11, 25, 27, 29, 31, 33, 24, 26, 28, 30, 32, 23, 13, 15, 17, 19, 21, 
      12, 14, 16, 18, 20, 22 ], 
  [ 40, 42, 44, 35, 37, 39, 41, 43, 34, 36, 38, 1, 3, 5, 7, 9, 11, 2, 4, 6, 
      8, 10, 24, 26, 28, 30, 32, 23, 25, 27, 29, 31, 33, 12, 14, 16, 18, 20, 
      22, 13, 15, 17, 19, 21 ], 
  [ 21, 12, 14, 16, 18, 20, 22, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 24, 
      26, 28, 30, 32, 5, 7, 9, 11, 2, 4, 6, 8, 10, 1, 3, 34, 36, 38, 40, 42, 
      44, 35, 37, 39, 41, 43 ], 
  [ 20, 22, 13, 15, 17, 19, 21, 12, 14, 16, 18, 33, 24, 26, 28, 30, 32, 23, 
      25, 27, 29, 31, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11, 2, 44, 35, 37, 39, 41, 
      43, 34, 36, 38, 40, 42 ], 
  [ 19, 21, 12, 14, 16, 18, 20, 22, 13, 15, 17, 32, 23, 25, 27, 29, 31, 33, 
      24, 26, 28, 30, 3, 5, 7, 9, 11, 2, 4, 6, 8, 10, 1, 43, 34, 36, 38, 40, 
      42, 44, 35, 37, 39, 41 ], 
  [ 18, 20, 22, 13, 15, 17, 19, 21, 12, 14, 16, 31, 33, 24, 26, 28, 30, 32, 
      23, 25, 27, 29, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11, 42, 44, 35, 37, 39, 
      41, 43, 34, 36, 38, 40 ], 
  [ 17, 19, 21, 12, 14, 16, 18, 20, 22, 13, 15, 30, 32, 23, 25, 27, 29, 31, 
      33, 24, 26, 28, 1, 3, 5, 7, 9, 11, 2, 4, 6, 8, 10, 41, 43, 34, 36, 38, 
      40, 42, 44, 35, 37, 39 ], 
  [ 16, 18, 20, 22, 13, 15, 17, 19, 21, 12, 14, 29, 31, 33, 24, 26, 28, 30, 
      32, 23, 25, 27, 11, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 40, 42, 44, 35, 37, 
      39, 41, 43, 34, 36, 38 ], 
  [ 15, 17, 19, 21, 12, 14, 16, 18, 20, 22, 13, 28, 30, 32, 23, 25, 27, 29, 
      31, 33, 24, 26, 10, 1, 3, 5, 7, 9, 11, 2, 4, 6, 8, 39, 41, 43, 34, 36, 
      38, 40, 42, 44, 35, 37 ], 
  [ 14, 16, 18, 20, 22, 13, 15, 17, 19, 21, 12, 27, 29, 31, 33, 24, 26, 28, 
      30, 32, 23, 25, 9, 11, 2, 4, 6, 8, 10, 1, 3, 5, 7, 38, 40, 42, 44, 35, 
      37, 39, 41, 43, 34, 36 ], 
  [ 13, 15, 17, 19, 21, 12, 14, 16, 18, 20, 22, 26, 28, 30, 32, 23, 25, 27, 
      29, 31, 33, 24, 8, 10, 1, 3, 5, 7, 9, 11, 2, 4, 6, 37, 39, 41, 43, 34, 
      36, 38, 40, 42, 44, 35 ], 
  [ 12, 14, 16, 18, 20, 22, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, 24, 26, 
      28, 30, 32, 23, 7, 9, 11, 2, 4, 6, 8, 10, 1, 3, 5, 36, 38, 40, 42, 44, 
      35, 37, 39, 41, 43, 34 ], 
  [ 22, 13, 15, 17, 19, 21, 12, 14, 16, 18, 20, 24, 26, 28, 30, 32, 23, 25, 
      27, 29, 31, 33, 6, 8, 10, 1, 3, 5, 7, 9, 11, 2, 4, 35, 37, 39, 41, 43, 
      34, 36, 38, 40, 42, 44 ] ]);
QUANDLES[44].implemented := 7;
QUANDLES[44].rack[7] := rec( size := 44, matrix :=
[ [ 1, 8, 4, 11, 7, 3, 10, 6, 2, 9, 5, 34, 41, 37, 44, 40, 36, 43, 39, 35, 
      42, 38, 14, 21, 17, 13, 20, 16, 12, 19, 15, 22, 18, 31, 27, 23, 30, 26, 
      33, 29, 25, 32, 28, 24 ], 
  [ 6, 2, 9, 5, 1, 8, 4, 11, 7, 3, 10, 39, 35, 42, 38, 34, 41, 37, 44, 40, 
      36, 43, 19, 15, 22, 18, 14, 21, 17, 13, 20, 16, 12, 25, 32, 28, 24, 31, 
      27, 23, 30, 26, 33, 29 ], 
  [ 11, 7, 3, 10, 6, 2, 9, 5, 1, 8, 4, 44, 40, 36, 43, 39, 35, 42, 38, 34, 
      41, 37, 13, 20, 16, 12, 19, 15, 22, 18, 14, 21, 17, 30, 26, 33, 29, 25, 
      32, 28, 24, 31, 27, 23 ], 
  [ 5, 1, 8, 4, 11, 7, 3, 10, 6, 2, 9, 38, 34, 41, 37, 44, 40, 36, 43, 39, 
      35, 42, 18, 14, 21, 17, 13, 20, 16, 12, 19, 15, 22, 24, 31, 27, 23, 30, 
      26, 33, 29, 25, 32, 28 ], 
  [ 10, 6, 2, 9, 5, 1, 8, 4, 11, 7, 3, 43, 39, 35, 42, 38, 34, 41, 37, 44, 
      40, 36, 12, 19, 15, 22, 18, 14, 21, 17, 13, 20, 16, 29, 25, 32, 28, 24, 
      31, 27, 23, 30, 26, 33 ], 
  [ 4, 11, 7, 3, 10, 6, 2, 9, 5, 1, 8, 37, 44, 40, 36, 43, 39, 35, 42, 38, 
      34, 41, 17, 13, 20, 16, 12, 19, 15, 22, 18, 14, 21, 23, 30, 26, 33, 29, 
      25, 32, 28, 24, 31, 27 ], 
  [ 9, 5, 1, 8, 4, 11, 7, 3, 10, 6, 2, 42, 38, 34, 41, 37, 44, 40, 36, 43, 
      39, 35, 22, 18, 14, 21, 17, 13, 20, 16, 12, 19, 15, 28, 24, 31, 27, 23, 
      30, 26, 33, 29, 25, 32 ], 
  [ 3, 10, 6, 2, 9, 5, 1, 8, 4, 11, 7, 36, 43, 39, 35, 42, 38, 34, 41, 37, 
      44, 40, 16, 12, 19, 15, 22, 18, 14, 21, 17, 13, 20, 33, 29, 25, 32, 28, 
      24, 31, 27, 23, 30, 26 ], 
  [ 8, 4, 11, 7, 3, 10, 6, 2, 9, 5, 1, 41, 37, 44, 40, 36, 43, 39, 35, 42, 
      38, 34, 21, 17, 13, 20, 16, 12, 19, 15, 22, 18, 14, 27, 23, 30, 26, 33, 
      29, 25, 32, 28, 24, 31 ], 
  [ 2, 9, 5, 1, 8, 4, 11, 7, 3, 10, 6, 35, 42, 38, 34, 41, 37, 44, 40, 36, 
      43, 39, 15, 22, 18, 14, 21, 17, 13, 20, 16, 12, 19, 32, 28, 24, 31, 27, 
      23, 30, 26, 33, 29, 25 ], 
  [ 7, 3, 10, 6, 2, 9, 5, 1, 8, 4, 11, 40, 36, 43, 39, 35, 42, 38, 34, 41, 
      37, 44, 20, 16, 12, 19, 15, 22, 18, 14, 21, 17, 13, 26, 33, 29, 25, 32, 
      28, 24, 31, 27, 23, 30 ], 
  [ 31, 27, 23, 30, 26, 33, 29, 25, 32, 28, 24, 12, 19, 15, 22, 18, 14, 21, 
      17, 13, 20, 16, 44, 40, 36, 43, 39, 35, 42, 38, 34, 41, 37, 9, 5, 1, 8, 
      4, 11, 7, 3, 10, 6, 2 ], 
  [ 25, 32, 28, 24, 31, 27, 23, 30, 26, 33, 29, 17, 13, 20, 16, 12, 19, 15, 
      22, 18, 14, 21, 38, 34, 41, 37, 44, 40, 36, 43, 39, 35, 42, 3, 10, 6, 
      2, 9, 5, 1, 8, 4, 11, 7 ], 
  [ 30, 26, 33, 29, 25, 32, 28, 24, 31, 27, 23, 22, 18, 14, 21, 17, 13, 20, 
      16, 12, 19, 15, 43, 39, 35, 42, 38, 34, 41, 37, 44, 40, 36, 8, 4, 11, 
      7, 3, 10, 6, 2, 9, 5, 1 ], 
  [ 24, 31, 27, 23, 30, 26, 33, 29, 25, 32, 28, 16, 12, 19, 15, 22, 18, 14, 
      21, 17, 13, 20, 37, 44, 40, 36, 43, 39, 35, 42, 38, 34, 41, 2, 9, 5, 1, 
      8, 4, 11, 7, 3, 10, 6 ], 
  [ 29, 25, 32, 28, 24, 31, 27, 23, 30, 26, 33, 21, 17, 13, 20, 16, 12, 19, 
      15, 22, 18, 14, 42, 38, 34, 41, 37, 44, 40, 36, 43, 39, 35, 7, 3, 10, 
      6, 2, 9, 5, 1, 8, 4, 11 ], 
  [ 23, 30, 26, 33, 29, 25, 32, 28, 24, 31, 27, 15, 22, 18, 14, 21, 17, 13, 
      20, 16, 12, 19, 36, 43, 39, 35, 42, 38, 34, 41, 37, 44, 40, 1, 8, 4, 
      11, 7, 3, 10, 6, 2, 9, 5 ], 
  [ 28, 24, 31, 27, 23, 30, 26, 33, 29, 25, 32, 20, 16, 12, 19, 15, 22, 18, 
      14, 21, 17, 13, 41, 37, 44, 40, 36, 43, 39, 35, 42, 38, 34, 6, 2, 9, 5, 
      1, 8, 4, 11, 7, 3, 10 ], 
  [ 33, 29, 25, 32, 28, 24, 31, 27, 23, 30, 26, 14, 21, 17, 13, 20, 16, 12, 
      19, 15, 22, 18, 35, 42, 38, 34, 41, 37, 44, 40, 36, 43, 39, 11, 7, 3, 
      10, 6, 2, 9, 5, 1, 8, 4 ], 
  [ 27, 23, 30, 26, 33, 29, 25, 32, 28, 24, 31, 19, 15, 22, 18, 14, 21, 17, 
      13, 20, 16, 12, 40, 36, 43, 39, 35, 42, 38, 34, 41, 37, 44, 5, 1, 8, 4, 
      11, 7, 3, 10, 6, 2, 9 ], 
  [ 32, 28, 24, 31, 27, 23, 30, 26, 33, 29, 25, 13, 20, 16, 12, 19, 15, 22, 
      18, 14, 21, 17, 34, 41, 37, 44, 40, 36, 43, 39, 35, 42, 38, 10, 6, 2, 
      9, 5, 1, 8, 4, 11, 7, 3 ], 
  [ 26, 33, 29, 25, 32, 28, 24, 31, 27, 23, 30, 18, 14, 21, 17, 13, 20, 16, 
      12, 19, 15, 22, 39, 35, 42, 38, 34, 41, 37, 44, 40, 36, 43, 4, 11, 7, 
      3, 10, 6, 2, 9, 5, 1, 8 ], 
  [ 37, 44, 40, 36, 43, 39, 35, 42, 38, 34, 41, 2, 9, 5, 1, 8, 4, 11, 7, 3, 
      10, 6, 23, 30, 26, 33, 29, 25, 32, 28, 24, 31, 27, 15, 22, 18, 14, 21, 
      17, 13, 20, 16, 12, 19 ], 
  [ 42, 38, 34, 41, 37, 44, 40, 36, 43, 39, 35, 7, 3, 10, 6, 2, 9, 5, 1, 8, 
      4, 11, 28, 24, 31, 27, 23, 30, 26, 33, 29, 25, 32, 20, 16, 12, 19, 15, 
      22, 18, 14, 21, 17, 13 ], 
  [ 36, 43, 39, 35, 42, 38, 34, 41, 37, 44, 40, 1, 8, 4, 11, 7, 3, 10, 6, 2, 
      9, 5, 33, 29, 25, 32, 28, 24, 31, 27, 23, 30, 26, 14, 21, 17, 13, 20, 
      16, 12, 19, 15, 22, 18 ], 
  [ 41, 37, 44, 40, 36, 43, 39, 35, 42, 38, 34, 6, 2, 9, 5, 1, 8, 4, 11, 7, 
      3, 10, 27, 23, 30, 26, 33, 29, 25, 32, 28, 24, 31, 19, 15, 22, 18, 14, 
      21, 17, 13, 20, 16, 12 ], 
  [ 35, 42, 38, 34, 41, 37, 44, 40, 36, 43, 39, 11, 7, 3, 10, 6, 2, 9, 5, 1, 
      8, 4, 32, 28, 24, 31, 27, 23, 30, 26, 33, 29, 25, 13, 20, 16, 12, 19, 
      15, 22, 18, 14, 21, 17 ], 
  [ 40, 36, 43, 39, 35, 42, 38, 34, 41, 37, 44, 5, 1, 8, 4, 11, 7, 3, 10, 6, 
      2, 9, 26, 33, 29, 25, 32, 28, 24, 31, 27, 23, 30, 18, 14, 21, 17, 13, 
      20, 16, 12, 19, 15, 22 ], 
  [ 34, 41, 37, 44, 40, 36, 43, 39, 35, 42, 38, 10, 6, 2, 9, 5, 1, 8, 4, 11, 
      7, 3, 31, 27, 23, 30, 26, 33, 29, 25, 32, 28, 24, 12, 19, 15, 22, 18, 
      14, 21, 17, 13, 20, 16 ], 
  [ 39, 35, 42, 38, 34, 41, 37, 44, 40, 36, 43, 4, 11, 7, 3, 10, 6, 2, 9, 5, 
      1, 8, 25, 32, 28, 24, 31, 27, 23, 30, 26, 33, 29, 17, 13, 20, 16, 12, 
      19, 15, 22, 18, 14, 21 ], 
  [ 44, 40, 36, 43, 39, 35, 42, 38, 34, 41, 37, 9, 5, 1, 8, 4, 11, 7, 3, 10, 
      6, 2, 30, 26, 33, 29, 25, 32, 28, 24, 31, 27, 23, 22, 18, 14, 21, 17, 
      13, 20, 16, 12, 19, 15 ], 
  [ 38, 34, 41, 37, 44, 40, 36, 43, 39, 35, 42, 3, 10, 6, 2, 9, 5, 1, 8, 4, 
      11, 7, 24, 31, 27, 23, 30, 26, 33, 29, 25, 32, 28, 16, 12, 19, 15, 22, 
      18, 14, 21, 17, 13, 20 ], 
  [ 43, 39, 35, 42, 38, 34, 41, 37, 44, 40, 36, 8, 4, 11, 7, 3, 10, 6, 2, 9, 
      5, 1, 29, 25, 32, 28, 24, 31, 27, 23, 30, 26, 33, 21, 17, 13, 20, 16, 
      12, 19, 15, 22, 18, 14 ], 
  [ 15, 22, 18, 14, 21, 17, 13, 20, 16, 12, 19, 32, 28, 24, 31, 27, 23, 30, 
      26, 33, 29, 25, 1, 8, 4, 11, 7, 3, 10, 6, 2, 9, 5, 34, 41, 37, 44, 40, 
      36, 43, 39, 35, 42, 38 ], 
  [ 20, 16, 12, 19, 15, 22, 18, 14, 21, 17, 13, 26, 33, 29, 25, 32, 28, 24, 
      31, 27, 23, 30, 6, 2, 9, 5, 1, 8, 4, 11, 7, 3, 10, 39, 35, 42, 38, 34, 
      41, 37, 44, 40, 36, 43 ], 
  [ 14, 21, 17, 13, 20, 16, 12, 19, 15, 22, 18, 31, 27, 23, 30, 26, 33, 29, 
      25, 32, 28, 24, 11, 7, 3, 10, 6, 2, 9, 5, 1, 8, 4, 44, 40, 36, 43, 39, 
      35, 42, 38, 34, 41, 37 ], 
  [ 19, 15, 22, 18, 14, 21, 17, 13, 20, 16, 12, 25, 32, 28, 24, 31, 27, 23, 
      30, 26, 33, 29, 5, 1, 8, 4, 11, 7, 3, 10, 6, 2, 9, 38, 34, 41, 37, 44, 
      40, 36, 43, 39, 35, 42 ], 
  [ 13, 20, 16, 12, 19, 15, 22, 18, 14, 21, 17, 30, 26, 33, 29, 25, 32, 28, 
      24, 31, 27, 23, 10, 6, 2, 9, 5, 1, 8, 4, 11, 7, 3, 43, 39, 35, 42, 38, 
      34, 41, 37, 44, 40, 36 ], 
  [ 18, 14, 21, 17, 13, 20, 16, 12, 19, 15, 22, 24, 31, 27, 23, 30, 26, 33, 
      29, 25, 32, 28, 4, 11, 7, 3, 10, 6, 2, 9, 5, 1, 8, 37, 44, 40, 36, 43, 
      39, 35, 42, 38, 34, 41 ], 
  [ 12, 19, 15, 22, 18, 14, 21, 17, 13, 20, 16, 29, 25, 32, 28, 24, 31, 27, 
      23, 30, 26, 33, 9, 5, 1, 8, 4, 11, 7, 3, 10, 6, 2, 42, 38, 34, 41, 37, 
      44, 40, 36, 43, 39, 35 ], 
  [ 17, 13, 20, 16, 12, 19, 15, 22, 18, 14, 21, 23, 30, 26, 33, 29, 25, 32, 
      28, 24, 31, 27, 3, 10, 6, 2, 9, 5, 1, 8, 4, 11, 7, 36, 43, 39, 35, 42, 
      38, 34, 41, 37, 44, 40 ], 
  [ 22, 18, 14, 21, 17, 13, 20, 16, 12, 19, 15, 28, 24, 31, 27, 23, 30, 26, 
      33, 29, 25, 32, 8, 4, 11, 7, 3, 10, 6, 2, 9, 5, 1, 41, 37, 44, 40, 36, 
      43, 39, 35, 42, 38, 34 ], 
  [ 16, 12, 19, 15, 22, 18, 14, 21, 17, 13, 20, 33, 29, 25, 32, 28, 24, 31, 
      27, 23, 30, 26, 2, 9, 5, 1, 8, 4, 11, 7, 3, 10, 6, 35, 42, 38, 34, 41, 
      37, 44, 40, 36, 43, 39 ], 
  [ 21, 17, 13, 20, 16, 12, 19, 15, 22, 18, 14, 27, 23, 30, 26, 33, 29, 25, 
      32, 28, 24, 31, 7, 3, 10, 6, 2, 9, 5, 1, 8, 4, 11, 40, 36, 43, 39, 35, 
      42, 38, 34, 41, 37, 44 ] ]);
QUANDLES[44].implemented := 8;
QUANDLES[44].rack[8] := rec( size := 44, matrix :=
[ [ 1, 9, 6, 3, 11, 8, 5, 2, 10, 7, 4, 37, 34, 42, 39, 36, 44, 41, 38, 35, 
      43, 40, 21, 18, 15, 12, 20, 17, 14, 22, 19, 16, 13, 30, 27, 24, 32, 29, 
      26, 23, 31, 28, 25, 33 ], 
  [ 5, 2, 10, 7, 4, 1, 9, 6, 3, 11, 8, 41, 38, 35, 43, 40, 37, 34, 42, 39, 
      36, 44, 14, 22, 19, 16, 13, 21, 18, 15, 12, 20, 17, 23, 31, 28, 25, 33, 
      30, 27, 24, 32, 29, 26 ], 
  [ 9, 6, 3, 11, 8, 5, 2, 10, 7, 4, 1, 34, 42, 39, 36, 44, 41, 38, 35, 43, 
      40, 37, 18, 15, 12, 20, 17, 14, 22, 19, 16, 13, 21, 27, 24, 32, 29, 26, 
      23, 31, 28, 25, 33, 30 ], 
  [ 2, 10, 7, 4, 1, 9, 6, 3, 11, 8, 5, 38, 35, 43, 40, 37, 34, 42, 39, 36, 
      44, 41, 22, 19, 16, 13, 21, 18, 15, 12, 20, 17, 14, 31, 28, 25, 33, 30, 
      27, 24, 32, 29, 26, 23 ], 
  [ 6, 3, 11, 8, 5, 2, 10, 7, 4, 1, 9, 42, 39, 36, 44, 41, 38, 35, 43, 40, 
      37, 34, 15, 12, 20, 17, 14, 22, 19, 16, 13, 21, 18, 24, 32, 29, 26, 23, 
      31, 28, 25, 33, 30, 27 ], 
  [ 10, 7, 4, 1, 9, 6, 3, 11, 8, 5, 2, 35, 43, 40, 37, 34, 42, 39, 36, 44, 
      41, 38, 19, 16, 13, 21, 18, 15, 12, 20, 17, 14, 22, 28, 25, 33, 30, 27, 
      24, 32, 29, 26, 23, 31 ], 
  [ 3, 11, 8, 5, 2, 10, 7, 4, 1, 9, 6, 39, 36, 44, 41, 38, 35, 43, 40, 37, 
      34, 42, 12, 20, 17, 14, 22, 19, 16, 13, 21, 18, 15, 32, 29, 26, 23, 31, 
      28, 25, 33, 30, 27, 24 ], 
  [ 7, 4, 1, 9, 6, 3, 11, 8, 5, 2, 10, 43, 40, 37, 34, 42, 39, 36, 44, 41, 
      38, 35, 16, 13, 21, 18, 15, 12, 20, 17, 14, 22, 19, 25, 33, 30, 27, 24, 
      32, 29, 26, 23, 31, 28 ], 
  [ 11, 8, 5, 2, 10, 7, 4, 1, 9, 6, 3, 36, 44, 41, 38, 35, 43, 40, 37, 34, 
      42, 39, 20, 17, 14, 22, 19, 16, 13, 21, 18, 15, 12, 29, 26, 23, 31, 28, 
      25, 33, 30, 27, 24, 32 ], 
  [ 4, 1, 9, 6, 3, 11, 8, 5, 2, 10, 7, 40, 37, 34, 42, 39, 36, 44, 41, 38, 
      35, 43, 13, 21, 18, 15, 12, 20, 17, 14, 22, 19, 16, 33, 30, 27, 24, 32, 
      29, 26, 23, 31, 28, 25 ], 
  [ 8, 5, 2, 10, 7, 4, 1, 9, 6, 3, 11, 44, 41, 38, 35, 43, 40, 37, 34, 42, 
      39, 36, 17, 14, 22, 19, 16, 13, 21, 18, 15, 12, 20, 26, 23, 31, 28, 25, 
      33, 30, 27, 24, 32, 29 ], 
  [ 28, 25, 33, 30, 27, 24, 32, 29, 26, 23, 31, 12, 20, 17, 14, 22, 19, 16, 
      13, 21, 18, 15, 37, 34, 42, 39, 36, 44, 41, 38, 35, 43, 40, 5, 2, 10, 
      7, 4, 1, 9, 6, 3, 11, 8 ], 
  [ 32, 29, 26, 23, 31, 28, 25, 33, 30, 27, 24, 16, 13, 21, 18, 15, 12, 20, 
      17, 14, 22, 19, 41, 38, 35, 43, 40, 37, 34, 42, 39, 36, 44, 9, 6, 3, 
      11, 8, 5, 2, 10, 7, 4, 1 ], 
  [ 25, 33, 30, 27, 24, 32, 29, 26, 23, 31, 28, 20, 17, 14, 22, 19, 16, 13, 
      21, 18, 15, 12, 34, 42, 39, 36, 44, 41, 38, 35, 43, 40, 37, 2, 10, 7, 
      4, 1, 9, 6, 3, 11, 8, 5 ], 
  [ 29, 26, 23, 31, 28, 25, 33, 30, 27, 24, 32, 13, 21, 18, 15, 12, 20, 17, 
      14, 22, 19, 16, 38, 35, 43, 40, 37, 34, 42, 39, 36, 44, 41, 6, 3, 11, 
      8, 5, 2, 10, 7, 4, 1, 9 ], 
  [ 33, 30, 27, 24, 32, 29, 26, 23, 31, 28, 25, 17, 14, 22, 19, 16, 13, 21, 
      18, 15, 12, 20, 42, 39, 36, 44, 41, 38, 35, 43, 40, 37, 34, 10, 7, 4, 
      1, 9, 6, 3, 11, 8, 5, 2 ], 
  [ 26, 23, 31, 28, 25, 33, 30, 27, 24, 32, 29, 21, 18, 15, 12, 20, 17, 14, 
      22, 19, 16, 13, 35, 43, 40, 37, 34, 42, 39, 36, 44, 41, 38, 3, 11, 8, 
      5, 2, 10, 7, 4, 1, 9, 6 ], 
  [ 30, 27, 24, 32, 29, 26, 23, 31, 28, 25, 33, 14, 22, 19, 16, 13, 21, 18, 
      15, 12, 20, 17, 39, 36, 44, 41, 38, 35, 43, 40, 37, 34, 42, 7, 4, 1, 9, 
      6, 3, 11, 8, 5, 2, 10 ], 
  [ 23, 31, 28, 25, 33, 30, 27, 24, 32, 29, 26, 18, 15, 12, 20, 17, 14, 22, 
      19, 16, 13, 21, 43, 40, 37, 34, 42, 39, 36, 44, 41, 38, 35, 11, 8, 5, 
      2, 10, 7, 4, 1, 9, 6, 3 ], 
  [ 27, 24, 32, 29, 26, 23, 31, 28, 25, 33, 30, 22, 19, 16, 13, 21, 18, 15, 
      12, 20, 17, 14, 36, 44, 41, 38, 35, 43, 40, 37, 34, 42, 39, 4, 1, 9, 6, 
      3, 11, 8, 5, 2, 10, 7 ], 
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      43, 40, 37, 34, 42, 39 ], 
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      37, 34, 42, 39, 36, 44 ] ]);
QUANDLES[44].implemented := 9;
QUANDLES[44].rack[9] := rec( size := 44, matrix :=
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      29, 24, 30, 25, 31, 26 ], 
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      24, 30, 25, 31, 26, 32 ], 
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      42, 37, 19, 14, 20, 15, 21, 16, 22, 17, 12, 18, 13, 33, 28, 23, 29, 24, 
      30, 25, 31, 26, 32, 27 ], 
  [ 8, 3, 9, 4, 10, 5, 11, 6, 1, 7, 2, 38, 44, 39, 34, 40, 35, 41, 36, 42, 
      37, 43, 14, 20, 15, 21, 16, 22, 17, 12, 18, 13, 19, 28, 23, 29, 24, 30, 
      25, 31, 26, 32, 27, 33 ], 
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      32, 27, 33, 28, 23, 29 ], 
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      10, 5, 11, 6, 1, 7, 2 ], 
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      22, 17, 12, 18, 41, 36, 42, 37, 43, 38, 44, 39, 34, 40, 35, 3, 9, 4, 
      10, 5, 11, 6, 1, 7, 2, 8 ], 
  [ 30, 25, 31, 26, 32, 27, 33, 28, 23, 29, 24, 19, 14, 20, 15, 21, 16, 22, 
      17, 12, 18, 13, 36, 42, 37, 43, 38, 44, 39, 34, 40, 35, 41, 9, 4, 10, 
      5, 11, 6, 1, 7, 2, 8, 3 ], 
  [ 25, 31, 26, 32, 27, 33, 28, 23, 29, 24, 30, 14, 20, 15, 21, 16, 22, 17, 
      12, 18, 13, 19, 42, 37, 43, 38, 44, 39, 34, 40, 35, 41, 36, 4, 10, 5, 
      11, 6, 1, 7, 2, 8, 3, 9 ], 
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      18, 13, 19, 14, 37, 43, 38, 44, 39, 34, 40, 35, 41, 36, 42, 10, 5, 11, 
      6, 1, 7, 2, 8, 3, 9, 4 ], 
  [ 26, 32, 27, 33, 28, 23, 29, 24, 30, 25, 31, 15, 21, 16, 22, 17, 12, 18, 
      13, 19, 14, 20, 43, 38, 44, 39, 34, 40, 35, 41, 36, 42, 37, 5, 11, 6, 
      1, 7, 2, 8, 3, 9, 4, 10 ], 
  [ 32, 27, 33, 28, 23, 29, 24, 30, 25, 31, 26, 21, 16, 22, 17, 12, 18, 13, 
      19, 14, 20, 15, 38, 44, 39, 34, 40, 35, 41, 36, 42, 37, 43, 11, 6, 1, 
      7, 2, 8, 3, 9, 4, 10, 5 ], 
  [ 27, 33, 28, 23, 29, 24, 30, 25, 31, 26, 32, 16, 22, 17, 12, 18, 13, 19, 
      14, 20, 15, 21, 44, 39, 34, 40, 35, 41, 36, 42, 37, 43, 38, 6, 1, 7, 2, 
      8, 3, 9, 4, 10, 5, 11 ], 
  [ 33, 28, 23, 29, 24, 30, 25, 31, 26, 32, 27, 22, 17, 12, 18, 13, 19, 14, 
      20, 15, 21, 16, 39, 34, 40, 35, 41, 36, 42, 37, 43, 38, 44, 1, 7, 2, 8, 
      3, 9, 4, 10, 5, 11, 6 ], 
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      15, 21, 16, 22, 34, 40, 35, 41, 36, 42, 37, 43, 38, 44, 39, 7, 2, 8, 3, 
      9, 4, 10, 5, 11, 6, 1 ], 
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      5, 11, 23, 29, 24, 30, 25, 31, 26, 32, 27, 33, 28, 12, 18, 13, 19, 14, 
      20, 15, 21, 16, 22, 17 ], 
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      15, 21, 16, 22, 17, 12 ], 
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      21, 16, 22, 17, 12, 18 ], 
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      1, 7, 30, 25, 31, 26, 32, 27, 33, 28, 23, 29, 24, 19, 14, 20, 15, 21, 
      16, 22, 17, 12, 18, 13 ], 
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      7, 2, 25, 31, 26, 32, 27, 33, 28, 23, 29, 24, 30, 14, 20, 15, 21, 16, 
      22, 17, 12, 18, 13, 19 ], 
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      2, 8, 31, 26, 32, 27, 33, 28, 23, 29, 24, 30, 25, 20, 15, 21, 16, 22, 
      17, 12, 18, 13, 19, 14 ], 
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      8, 3, 26, 32, 27, 33, 28, 23, 29, 24, 30, 25, 31, 15, 21, 16, 22, 17, 
      12, 18, 13, 19, 14, 20 ], 
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      3, 9, 32, 27, 33, 28, 23, 29, 24, 30, 25, 31, 26, 21, 16, 22, 17, 12, 
      18, 13, 19, 14, 20, 15 ], 
  [ 37, 43, 38, 44, 39, 34, 40, 35, 41, 36, 42, 10, 5, 11, 6, 1, 7, 2, 8, 3, 
      9, 4, 27, 33, 28, 23, 29, 24, 30, 25, 31, 26, 32, 16, 22, 17, 12, 18, 
      13, 19, 14, 20, 15, 21 ], 
  [ 43, 38, 44, 39, 34, 40, 35, 41, 36, 42, 37, 5, 11, 6, 1, 7, 2, 8, 3, 9, 
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      19, 14, 20, 15, 21, 16 ], 
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      26, 32, 27, 33, 4, 10, 5, 11, 6, 1, 7, 2, 8, 3, 9, 34, 40, 35, 41, 36, 
      42, 37, 43, 38, 44, 39 ], 
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      39, 34, 40, 35, 41, 36 ], 
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      30, 25, 31, 26, 8, 3, 9, 4, 10, 5, 11, 6, 1, 7, 2, 38, 44, 39, 34, 40, 
      35, 41, 36, 42, 37, 43 ], 
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      31, 26, 32, 27, 9, 4, 10, 5, 11, 6, 1, 7, 2, 8, 3, 39, 34, 40, 35, 41, 
      36, 42, 37, 43, 38, 44 ] ]);
